A study looked at n=256 adolescents, where subjects wore a wrist actigraph, which allowed the researchers to estimate sleep patterns. Those subjects classified as having low sleep efficiency had an average systolic blood pressure that was 5.6 millimeters of mercury (mm Hg) higher than that of other adolescents. The standard deviation of this difference is 1.8 mm Hg. Based on the results, test whether this difference is significant at the 0.01 level. 2. An SRS of 100 incoming freshman was taken to look at their college anxiety level. The mean score of the sample was 87.3 (on a 0 to 100 scale with a higher score indicating mores stress). Assuming population o = 8.1, construct a 95% confidence interval for the population mean. What sample size is required to get a margin of error less than or equal to .15?

Answers

Answer 1

There is a significance at the level 0.01.

We can use a two-sample t-test for this purpose.

A two-sample t-test is used to examine whether two data samples have a mean difference that is statistically significant.The null hypothesis for this test is that there is no significant difference between the mean systolic blood pressure of those adolescents classified as having low sleep efficiency and that of other adolescents.

Hence, H0: μ1 = μ2

where μ1 is the mean systolic blood pressure of those adolescents classified as having low sleep efficiency and μ2 is the mean systolic blood pressure of other adolescents.

The alternative hypothesis is that there is a significant difference between the two means:

H1: μ1 ≠ μ2

The level of significance (α) is 0.01, so the critical value of t can be found using a t-distribution table with 254 degrees of freedom (n1+n2-2=254).

The critical value at a 0.01 level of significance is ±2.576.

From the question, we know that the mean difference between the two groups is 5.6 mm Hg and the standard deviation of this difference is 1.8 mm Hg.

Therefore, the t-statistic can be calculated as:

t = (5.6 - 0) / (1.8 / sqrt(256))

= 56 / 1.8 = 31.11

Since the calculated t-statistic (31.11) is greater than the critical value (±2.576), we reject the null hypothesis.

Thus, we can conclude that there is a significant difference in systolic blood pressure between the two groups at the 0.01 level of significance.

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Related Questions

add me on imessage 3377074503

Answers

if i was you i wouldnt do that that could be inaporpiet

Determine the sum of cells A1 and C3. = sume 2) Determine the sum of all rowś from A5 to A27 using the range operator. = sume 3) Determine the largest value in cells D2 and D3. 4) Determine the number of numeric values from rows F5 to F21, cell G12, and cell H9.

Answers

Here are the solutions to the given problems:

1. To find the sum of cells A1 and C3, we simply write the formula as: =SUM(A1,C3)

2. To find the sum of all rows from A5 to A27 using the range operator, we use the formula: =SUM(A5:A27)

3. To determine the largest value in cells D2 and D3, we use the formula: =MAX(D2,D3)

4. To find the number of numeric values from rows F5 to F21, cell G12, and cell H9, we use the formula: =COUNT(F5:F21,G12,H9)

The above formulas are used in Microsoft Excel for performing calculations.

Microsoft Excel is a popular spreadsheet program developed by Microsoft. It is a part of the Microsoft Office suite of productivity software, which also includes programs like Word, PowerPoint, and Outlook.

Excel provides a grid-based interface where users can organize and analyze data. The program uses a collection of cells arranged in rows and columns, forming a worksheet. Each cell can hold various types of data, such as numbers, text, dates, and formulas.

Excel offers a wide range of features and tools to perform calculations, create charts and graphs, manipulate data, and automate tasks. Users can enter data manually or import it from external sources, perform mathematical and statistical calculations, create formulas to link and manipulate data across cells, and use functions for various purposes.

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For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding. A random sample of 5724 physicians in Colorado showed that 3305 provided at least some charity care (i.e., treated poor people at no cost). in USE SALT (a) Let p represent the proportion of all Colorado physicians who provide some charity care. Find a point estimate for p. (Round your answer to four decimal places.) three decimal places.) (b) Find a 99% confidence interval for p. (Round your answers lower limit upper limit Give a brief explanation of the meaning of your answer in the context of this problem. We are 1% confident that the true proportion of Colorado physicians providing at least some charity care falls above this interval. We are 99% confident that the true proportion of Colorado physicians providing at least some charity care falls outside this interval. We are 99% confident that the true proportion of Colorado physicians providing at least some charity care falls within this interval. We are 1% confident that the true proportion of Colorado physicians providing at least some charity care falls within this interval. (c) Is the normal approximation to the binomial justified in this problem? Explain. No; np > 5 and ng < 5. Yes; np < 5 and ng < 5. Yes; np > 5 and ng > 5. No; np < 5 and ng > 5.

Answers

(a) The point estimate for p is 0.5763.

(b) The 99% confidence interval for p is (0.5645, 0.5882).

(c) The normal approximation to the binomial can't be used in this problem.

(a) Let p represent the proportion of all Colorado physicians who provide some charity care.

Find a point estimate for p.

From the given data, the proportion of Colorado physicians who provide charity care (p) is:

p = 3305 / 5724= 0.5763

The point estimate for p is 0.5763 (rounded to four decimal places).

(b) Find a 99% confidence interval for p.

A 99% confidence interval for p is given by:

p ± z * sqrt[p(1-p)/n], where n = 5724, z = 2.576 (for a 99% confidence level)

Lower limit = 0.5645 Upper limit = 0.5882

The 99% confidence interval for p is (0.5645, 0.5882).

We are 99% confident that the true proportion of Colorado physicians providing at least some charity care falls within this interval.

(c) No; np > 5 and ng < 5.

In general, the normal approximation to the binomial is valid when np and n(1-p) are both at least 5.

Here, n = 5724 and p = 0.5763.

So, np = 5724 × 0.5763 = 3303.9620

≈ 3304n(1-p)

= 5724 × (1 - 0.5763)

= 2419.0380

≈ 2419

Neither np nor n(1-p) is less than 5.

So, the normal approximation to the binomial can't be used in this problem.

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CAN ANYONE PLEASE HELP

Answers

Answer: Its spring break relax PLS

Step-by-step explanation:

You deposited $700 in a savings account 4 years ago. The simple interest rate you earn is 4%. What is the amount of interest that you earned in those 4 years?

Answers

Answer: $112

Step-by-step explanation:

700x0.04=28x4=112

Charlotte wants to paint a room that measures 15 ft wide, 20 ft long, and 8 ft high. One gallon of the paint she selects covers 400 ft² and costs $16.99. The sales tax is 6%. She plans to paint the ceiling and the four walls with the same paint. She ignores the area of the two windows and the door into the room when she estimates the amount of paint she needs. How many gallons of paint should she buy? How much will it cost?

Answers

The amount of paint she should buy is 2 gallons and it will cost $36.02.

What is area of shape?

The area of a shape is the space occupied by the boundary of a plane figures like circles, rectangles, and triangles.

The room takes the shape of a cuboid with the dimensions 30 by 15 by 8

Charlotte will be left with 5 surfaces to paint i.e

The ceiling and the other 4 walls.

Therefore the total surface area of the portion to be painted = lh + lh + lb + bh + bh

where l = 20, b = 15 , h = 8

= 20 × 8 +120× 8 + 20×15 + 15× 8 + 15 × 8

= 160+160+300+120+120

= 860 ft²

Let's assume the windows and doors take area of 60ft²

The area to be painted is 800ft²

1 gallon of paint will go for 400ft²

therefore the number of gallon for 800ft² = 800/400 = 2 gallons.

The cost of 1 gallon is $ 16.99

2 gallons = 2 × 16.99 = $33.98

Sales tax = 6%

= 6/100 × 33.98

= $2.04

Total cost = 33.98 + 2.04

= $36.02

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There is a cohort study assessing the potential association between exercise and future cardiac events. A risk ratio less than one suggests: There does not appear to be an association between exercise and future cardiac events. There appears to be a positive association between exercise and future cardiac events. There appears to be a negative association between exercise and future cardiac events. None of the answers listed here are correct.

Answers

A risk ratio less than one suggests a negative association between exercise and future cardiac events.

In a cohort study, the risk ratio (also known as relative risk) is a measure used to assess the association between an exposure (in this case, exercise) and an outcome (future cardiac events). The risk ratio compares the risk of experiencing the outcome in the exposed group (those who exercise) to the risk in the unexposed group (those who do not exercise).

When the risk ratio is less than one, it indicates a lower risk of the outcome among the exposed group compared to the unexposed group. In this context, a risk ratio less than one suggests a negative association between exercise and future cardiac events. It implies that individuals who engage in regular exercise have a reduced risk of experiencing cardiac events compared to those who do not exercise.

It is important to note that a risk ratio less than one does not imply a complete absence of risk or a guarantee of protection. It simply indicates a lower relative risk among individuals who exercise. Other factors and confounding variables should also be considered in interpreting the results of a cohort study and drawing conclusions about the association between exercise and future cardiac events.

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A city council with six members must elect a five-person executive committee consisting of a mayor, deputy mayor, secretary, administrator, and treasurer. How many executive committees are possible?
Determine the appropriate counting technique. Choose the correct answer below
A. Arrangements with repetition should be used because no llem may be selected more than once and the order maters
B. Permutations should be used because no item may be selected more than once and the order matters
C. Combinations should be used because no tem may be selected more than once and the order does not matter
D. Arangements with repetition should be used because we make selections from a group of choices
E. Permutations should be used because we make selections from a group of choices

Calculate how many different committees are possible

Answers

The correct answer is B. Permutations should be used because no item may be selected more than once, and the order matters. There are 720 different executive committees possible.

To determine the appropriate counting technique, we need to consider two factors: whether repetition is allowed and whether the order matters.

In this scenario, each position in the executive committee is distinct (mayor, deputy mayor, secretary, administrator, treasurer), and no member can hold multiple positions. Therefore, repetition is not allowed.

Additionally, the order of the positions in the committee matters. The committee will be different depending on who holds each position.

Based on these considerations, the correct answer is:

B. Permutations should be used because no item may be selected more than once, and the order matters.

To calculate the number of different committees possible, we can use the concept of permutations. Since there are six members in the city council and we need to select five for the committee, the calculation would be:

6P5 = 6! / (6-5)! = 6! / 1! = 6 * 5 * 4 * 3 * 2 * 1 / 1 = 720

Therefore, there are 720 different executive committees possible.

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HELPPPPPPP PLEASEEEEEEE!!!!!!!!




:((((((

Answers

There’s an app for math equations that big I just forgot the name

what is the value of y

Answers

Answer:

y= -6

Step-by-step explanation:

-2y - 5y= -7y

-7y=42

42/-7=

y= -6

I have 10 shirts, 9 pants, 4 shoes, and 1 hats. How many unique outfits do I have?​

Answers

360 outfits i think i wouldnt take that as fact tho

You would like to lease a car worth $36,601 for a three-year period. The leasing company told you that after three years, the car would have a residual value of $15,818. How much of the car’s original value will you have to pay off during your three-year lease?

Answers

Answer:

$20,783

Step-by-step explanation:

The original value of the car is given as $36,601.

Now, the residual value of the car after a 3 - year lease is given as $15,818.

Residual value is the amount that the person leasing this car can purchase it after the 3 years lease is expired.

Formula for his residual value is usually;

Residual value = original value - depreciation value

Where depreciation value is the amount of the cars original value the Person getting the vehicle on lease for 3 years would pay to cover that period.

Thus;

Depreciation value = 36601 - 15818 = $20783

Help me with this please

Answers

Answer:

21 degrees.

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

as BC ║DE ⇒ ∠CBA=∠BAD

⇒ ∠x=180-∠BAD -∠CAB

∠x=180-105-54=21

There is a manhole cover with a radius of 1 foot. What is the manhole cover's diameter?

Answers

Step-by-step explanation:

This seems like you just want to figure out the circumference of the manhole cover. The formula for the circumference of a circle is pi (3.14) multiplied by the diameter (d) of the circle so, circumference=πd. (π is the symbol for pi and approx. equals 3.14)

Circumference = πd

= 3.14(d)

= 3.14(3)

= 9.42 ft.

The length of the brass grip-strip will be 9.42 ft.

If the problem was stated in terms of the radius of the manhole cover then the formula would be circumference = 2πr which is the radius multiplied by 2 then multiplied by pi.

The radius of a circle is the distance from the center to the edge and the diameter is the distance from one edge of the circle to the other passing through the center of the circle.

Well, if the grip strip were of no width and could be straightened out to a line (which a piece of rubber cut in a circle couldn't be), then the length of the grip would correspond to the circumference of the manhole cover.

Circumference = 2*PI*radius = PI*diameter so your answer is 3*PI feet long.

9. The lengths of the sides of a triangle are 8 and 12. The length of the third side must be between what
two numbers? Repeat with other side lengths and write a generalization for sides of lengths a and b,
where b>a.

Answers

Answer:

b>a

Step-by-step explanation:

correct just divide then subtract

The following represents a sequence with an exponential pattern. FInd the missing numbers of the sequence.

20, __, __, __, 12, 500

Answers

The complete sequence is:

20, 0.6, 41.6667, 69.4444, 12, 500.

To find the missing numbers in the given sequence, let's analyze the pattern and fill in the gaps.

Looking at the sequence, we can observe that there is an exponential pattern occurring.

Let's break it down step by step:

Starting with the first number, 20, we can see that each subsequent number is decreasing or increasing exponentially.

If we divide the second number by the first number, we get 12/20 = 0.6. Similarly, dividing the third number by the second number gives us 500/12 = 41.6667.

We can see that there is a decreasing exponential pattern from the first to the third number.

Let's continue this pattern:

If we divide the fourth number by the third number, we get an approximate value of 41.6667/0.6 = 69.4444.

So, we can deduce that the missing numbers in the sequence are approximately 0.6, 41.6667, and 69.4444.

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a sporting goods store received an order of 64 baseball caps, of which 16 were green. if 1 of the 64 caps is selected at random, what is the probability it will

Answers

The probability of selecting a green baseball cap from the order of 64 caps is 0.25 or 25%.

To calculate the probability of selecting a green baseball cap from the order of 64 caps, we can use the concept of probability.

Given:

Total number of caps (n) = 64

Number of green caps (k) = 16

The probability (P) of selecting a green cap can be calculated as the ratio of the number of green caps to the total number of caps:

P(green cap) = k / n

Substituting the values:

P(green cap) = 16 / 64

P(green cap) = 0.25

Therefore, the probability of selecting a green baseball cap from the order of 64 caps is 0.25 or 25%.

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Help me please!!! ...................
........

Answers

Answer:

P = P (1 + r / n) ^ rt

Step-by-step explanation:

Pls help me I need some help.

Answers

Answer:

scale factor is 3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

5:15. 8:24. 9:27. they are all a ratio of 3

Will give brainless whatever that means. Due today. The radius of a basketball is 10 inches, and the radius of a soccer ball is 9 inches. How much greater is the volume of the basketball than the soccer ball? Round to the nearest tenth ​

Answers

9514 1404 393

Answer:

  1135.2 in³

Step-by-step explanation:

The volume of a sphere is given by the formula ...

  V = (4/3)πr^3

The difference in volume will be ...

  ∆V = Vb -Vs = (4/3)π(10^3 -9^3) = (4/3)π(1000 -729) = 4/3π·271 . . . cubic in

  ∆V ≈ 1135.2 . . . cubic inches

The basketball has a volume that is 1135.2 cubic inches greater.

_____

If you use 3.14 for π, your answer is 1134.6 in^3.

For the following regression model Y = α + βX + u

- Specify the assumptions that must hold, so the least-squares estimators of α and β are BLUE.

Answers

The ordinary least-squares estimators are used in regression analysis. In order to make the least-squares estimators of α and β BLUE, some assumptions must be met.

Assumptions of Linear Regression Model: In order to apply the OLS estimation technique, the following assumptions must be met :

Linearity - The linear regression analysis's relationship between independent and dependent variables should be linear.

If this assumption is not met, the linear regression will not be able to offer a good estimate of the relationship between variables.

Homoscedasticity - The variances of the residuals should be equal for all values of X.

In addition, the error term should have a constant variance. When this assumption is not met, the model is referred to as heteroscedasticity. Normality - The error term must be normally distributed.

This assumption's significance is critical since OLS depends on normality, and the model's failure to meet this assumption can be disastrous.

Independence - The values of the dependent variable must be independent of one another.

In other words, there should be no correlation between consecutive error terms, and each of the errors should have an average of 0.

Zero Conditional Mean - The X variable is exogenous, meaning it is uncorrelated with the error term.

This is known as the assumption of exogeneity. When this assumption is met, we say that the error has a zero mean or is orthogonal to X, which implies that E(u|X)=0.

The BLUE stands for Best Linear Unbiased Estimators. When OLS meets these five assumptions, the least-squares estimators of α and β are the BLUE.

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During the summer Tyler delivers packages a Miranda Cares for animal on a farm to show there earnings Tyler makes a graph and Miranda makes a table, which statement is true?

Answers

Answer:

divide the earnings number by the time, and then subtract the quotient by the slope of tylers graph.

A.B., a 68-year-old man, is admitted to your medical floor with a diagnosis of pleural effusion. He relates having shortness of breath; pain in his chest; weakness; and a dry, irritating cough. His vital signs (VS) are 142 / 82,118, respirations 38 and labored and shallow, 102.1

F(38.9∘C)∘ F(38.9 ∘ C), and Spo2
Spo 2​ 85% on room air. Chest �x-ray examination shows a large pleural effusion and pulmonary infiltrates in the right lower lobe consistent with pneumonia.
The provider performs a thoracentesis and drains 1500 mL of fluid. A specimen for culture and sensitivity (C&S) is sent to the lab, and A.B. is started on ceftriaxone 500 mg IV every 12 hours. The pleural C&S results show a large amount of Klebsiella organism growth that is not sensitive to ceftriaxone.
It is now the end of your shift and A.B.'s condition has stabilized. Using the SBAR framework, describe the bedside change-of-shift report you will give the oncoming nurse.

Answers

During the change-of-shift report, you would provide an SBAR (Situation, Background, Assessment, Recommendation) framework report to the oncoming nurse for A.B., a 68-year-old man admitted with pleural effusion and pneumonia.

In the Situation section, you would start by stating that A.B., a 68-year-old man, was admitted with pleural effusion and pneumonia. You would mention his presenting symptoms of shortness of breath, chest pain, weakness, and a dry, irritating cough. Provide the vital signs: blood pressure 142/82 mmHg, heart rate 118 beats per minute, respirations 38 breaths per minute (labored and shallow), temperature 102.1°F (38.9°C), and Spo2 of 85% on room air.

In the Background section, you would mention that a thoracentesis was performed, draining 1500 mL of fluid, and a specimen for culture and sensitivity (C&S) was sent to the lab. Explain that A.B. was started on ceftriaxone 500 mg IV every 12 hours, but the pleural C&S results showed a large amount of Klebsiella organism growth that is not sensitive to ceftriaxone.

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Can someone help me I really don’t understand this..

Answers

Answer:

this would be the answer 4.66666667 but when rounded it would be 5 or 4.7

Step-by-step explanation:

brainliest ???

The product is 4.66666666667

Falls City has a current population of 3,300 and is increasing 4.1% every year. How large will the population be in 8 years? Round your answer to the nearest whole number.​

Answers

4382


Since 4.1% x 8 = 32.8%

32.8% of 3300 = 1082.4

3300 + 1082.4 = 4082 rounded

Pls help will mark brainliest

Answers

Answer:

9) (68 + 160)/2 = 114°

10) 80/2 = 40°

11) 105 x 2 = 210°

12) 80 x 2 = 160°

13) (360 - 180 - 108)/2 = 36°

14) (360 - 69 - 95)/2 = 98°

Find the sum of all angles of the quadrilateral if sides are in ratio 2:3:6:9​

Answers

2  =

3  =

6 : 9  =

Step-by-step explanation:

Here are some solutions! Hope this helps.

-Lei

Factor the difference of perfect squares. 4x^2 - 1

Answers

Answer:

(2x+1)(2x-1)

Step-by-step explanation:

4x^2-1

(2x)^2-1

(2x)^2-1^2

(2x+1)(2x-1)

In the pic below help my cousin out UnU I don’t wanna help em ;-;

Answers

Answer:

The mode is 78, for it keeps repeating.

I really need this answer right away. Im taking an exam.

How long has the polygraph machine been in use?
A.Over 2000 years
B. Over 1000 years
C.Over 200 years
D. Over 100 years

Answers

Answer: 100 years

Step-by-step explanation:

Other Questions
A football team receives $258,000 in sponsorship for equipment, and the administrative costs are expected to be $27,000. What are the costs as a percentage of sponsorship revenue? A company you are considering investing in has a dividend of $0.40 per share. If you have a required return of 10% and the dividend is expected to grow at 3% per year, the discounted dividend valuation model would value the stock at: $4.58. $5.88. $6.33. $7.13 One die is blue and the other die is yellow. Both are rolled. What is the probability of getting the shm of 8? Miss Caroline assumes Atticus taught Scout to read and write. Who really taught Scout how to write? To kill a mockingbirdMrs. RadleyJemCalpurniaDill True or False?Weak bases dissociatecompletely into (OH)- andmetal cations. a corporation obtains a loan of $200,000 at an annual rate of 12%. the corporation must keep a compensating balance of 20% of any amount borrowed on deposit at the bank, but normally does not have a cash balance account with the bank. what is the effective cost of the loan? The following is the adjusted trial balance for Stockton Company.Stockton CompanyAdjusted Trial BalanceDecember 31Cash 6,251 Accounts Receivable 2,932 Prepaid Expenses 681 Equipment 15,763 Accumulated Depreciation 5,430Accounts Payable 1,769Notes Payable 5,527Common Stock 1,000Retained Earnings 9,780Dividends 746 Fees Earned 6,385Wages Expense 2,099 Rent Expense 738 Utilities Expense 326 Depreciation Expense 269 Miscellaneous Expense 86 Totals 29,891 29,891Determine the retained earnings ending balance.a.$11,901b.$2,867c.$29,891d.$10,780 Which equation would you use to find the value of y?360152 because you subtract the arc measure from 360.2(152) because the angle on the circle is twice the intercepted arc.y=(1/2)(360152) because you subtract the arc measure from 360 and then multiply by one-half.1/2 (152) because the inscribed angle is half the intercepted arc. if his eyes have a far point of 2.0 m , what is the greatest distance he can stand from the mirror and still see his image clearly? express your answer using two significant figures. Consider the following premerger information about Firm X and Firm Y: Firm X Firm Y Total earnings $96,000 $22,500 Shares outstanding 53,000 18,000 Per-share values: Market $53 $18 Book $14 $8 Assume that Firm X acquires Firm Y by issuing long-term debt to purchases all the shares outstanding at a merger premium of $5 per share. Construct the post-merger balance sheet for Firm X assuming the use of the purchase accounting method. Blended payments on a 54000 loan were $425 per month interest was charged at 6.2% per annum calculated on the urpad balance. How mach of the first progeste Select one $2007 o Ob $9.41 Od $58.35 $404.3 Please help me hurry Who painted the image above? London Confections is known for its rich dark chocolate fudge truffles. London sells its fudge truffles to local retailers. A "unit" of fudge truffles is a 10-pound batch. The standard quantities of ingredients for a batch include 11 cups of sugar, 17 ounces of chocolate chips, 21 ounces of butter, and 27 ounces of evaporated milk. The standard costs for each of the ingredients are as follows: $0.23 per cup of sugar, $0.20 per ounce of chocolate chips, $0.12 per ounce of butter, and $0.05 per ounce of evaporated milk. Calculate the standard direct material cost per batch of fudge truffles. Calculate the standard direct material (DM) cost per batch of fudge truffles. Of the following, which was not a provision of the Versailles Treaty?? Once a scientist has examined all of the facts, performed experiments to test their question, and analyzed the results, then they can form a method hypothesis consensus theory Moving to another question will save this response. uestion 2 15 point Pretty Lady Cosmetic Products has an average production process time of 40 days. Finished goods are kept on hand for an average of 15 days before they are sold. Accounts receivable are outstanding an avera and the firm receives 40 days of credit on its purchases from suppliers. Assume net sales of $1,200,000 and cost of goods sold of $900,000. Determine the average investment in accounts receivable, inventories, and accounts payable. What would be the net financing need conside three accounts? *Note: To solve this problem, you will need to first find the Inventory Period, the Receivables Period, and the Payment Period. $153.054.79 $154,054.79 $152.054.79 $152,154.80 A parent interest group is looking at whether birth order affects scores on the ACT test. It was suggested that, on average, first-born children earn lower ACT scores than second-born children. After surveying a random sample of 100100 first-born children, the parents group found that they had a mean score of 23.823.8 on the ACT. A survey of 250250 second-born children resulted in a mean ACT score of 24.124.1. Assume that the population standard deviation for first-born children is known to be 1.21.2 points and the population standard deviation for second-born children is known to be 2.42.4 points. Is there sufficient evidence at the 1%1% level of significance to say that the mean ACT score of first-born children is lower than the mean ACT score of second-born children? Let first-born children be Population 1 and let second-born children be Population 2.Step 1 of 3 :State the null and alternative hypotheses for the test. Fill in the blank below.Step 2: What is the Test StatisticStep 3: Do we reject or fail to reject the null hypothesis? Do we have sufficient or insufficient data? PLEASE HELP In the film you selected, how is lighting used? Is it more practical or aesthetic? What techniques were used? Explain the overall tone of the film, and how that might have affected the lighting choices? (i used casablanca for this assignment) Which number line shows the solutions of 13x8x+6?