Assume that both populations are normally distributed.

a. Test whether u1≠ u2 at the alpha=0.05 level of signifigance for the given sample data. (u= population mean, sorry couldnt insert the symbol). Determine p value. Should the null hypothesis be rejected?
b. Construct a 95% confidence interval about μ1−μ2. at the alphα=0.05 level of significance for the given sample data.

Population 1 Population 2
n 18 18
x 12.7 14.6
s 3.2 3.8

Answers

Answer 1

Answer:

Fail to reject the null hypothesis

[tex]CI = (-4.278, 0.478)[/tex]

Step-by-step explanation:

Given

[tex]n_1=n_2 = 18[/tex]

[tex]\bar x_1 = 12.7[/tex]    [tex]\bar x_2 = 14.6[/tex]

[tex]\sigma_1 = 3.2[/tex]    [tex]\sigma_2 = 3.8[/tex]

[tex]\alpha = 0.05[/tex]

Solving (a): Test the hypothesis

We have:

[tex]H_o : \mu_1 - \mu_2 = 0[/tex]

[tex]H_a : u1 - u2 \ne 0[/tex]

Calculate the pooled standard deviation

[tex]s_p = \sqrt\frac{(n_1-1)\sigma_1^2 + (n_2-1)\sigma_2^2}{n_1+n_2-2}}[/tex]

[tex]s_p = \sqrt\frac{(18-1)*3.2^2 + (18-1)*3.8^2}{18+18-2}}[/tex]

[tex]s_p = \sqrt\frac{419.56}{34}}[/tex]

[tex]s_p = \sqrt{12.34}[/tex]

[tex]s_p = 3.51[/tex]

Calculate test statistic

[tex]t = \frac{x_1 - x_2}{s_p*\sqrt{1/n_1 + 1/n_2}}[/tex]

[tex]t = \frac{12.7 - 14.6}{3.51 *\sqrt{1/18 + 1/18}}[/tex]

[tex]t = \frac{-1.9}{3.51 *\sqrt{1/9}}[/tex]

[tex]t = \frac{-1.9}{3.51 *1/3}[/tex]

[tex]t = \frac{-1.9}{1.17}[/tex]

[tex]t = -1.62[/tex]

From the t table, the p value is:

[tex]p = 0.114472[/tex]

[tex]p > \alpha[/tex]

i.e.

[tex]0.114472 > 0.05[/tex]

So, the conclusion is that: we fail to reject the null hypothesis.

Solving (b): Construct 95% degree freedom

[tex]\alpha = 0.05[/tex]

Calculate the degree of freedom

[tex]df = n_1 + n_2 - 2[/tex]

[tex]df = 18+18 - 2[/tex]

[tex]df = 34[/tex]

From the student t table, the t value is:

[tex]t = 2.032244[/tex]

The confidence interval is calculated as:

[tex]CI = (x_1 - x_2) \± s_p * t * \sqrt{1/n_1 + 1/n_2}[/tex]

[tex]CI = (12.7 - 14.6) \± 3.51 * 2.032244 * \sqrt{1/18 + 1/18}[/tex]

[tex]CI = (12.7 - 14.6) \± 3.51 * 2.032244 * \sqrt{1/9}[/tex]

[tex]CI = (12.7 - 14.6) \± 3.51 * 2.032244 * 1/3[/tex]

[tex]CI = -1.90 \± 2.378[/tex]

Split

[tex]CI = (-1.90 - 2.378, -1.90 + 2.378)[/tex]

[tex]CI = (-4.278, 0.478)[/tex]


Related Questions

please help me it this question​

Answers

Answer:

4cm ×6cm(parallelogram)

Question 9
Find the volume.

Answers

Answer:

volume of the triangular pyramid=1/3×base×height

=1/3×(1/2×6×5)×10

=1/3×15×10

=50 yd³

HELLO ⊂((・▽・))⊃

FIND THE VOLUME

GIVEN 10yd5yd6yd

FORMULA

[tex]V = \frac{1}{3} (\frac{1}{2}\times base \: area) \: \times height[/tex]

SOLUTION

[tex]V = \frac{1}{3} ( \frac{1}{2}\times base \: area) \: \times height \\ V = \frac{1}{3} (\frac{1}{2} (6)(5))(10) \\ V = \frac{1}{3} (150) \\ V = 50 {yd}^{3} [/tex]

FINAL ANSWER

[tex]D. \: \: V = 50 \: {yd}^{3} [/tex]

I hope it helps ┐(・_・┐)

Which value of n would make 3√n=8

Answers

Answer:

n = 64/9

Step-by-step explanation:

3√n=8

Divide each side by 3

3/3√n=8/3

sqrt(n) = 8/3

Square each side

(sqrt(n))^2 = (8/3)^2

n = 64/9

Answer:

n = 64 / 9

Step-by-step explanation:

3√n = 8

Divide both side of equation by 3

3√n / 3 = 8/3

√ n = 8 / 3

Square both side of equation

√n² = √(8/3)

n = 64/9

What is the image of N for a 288° counterclockwise rotation about the center of the regular pentagon?T A P E

Answers

9514 1404 393

Answer:

 T

Step-by-step explanation:

The figure has 5-fold rotational symmetry, so each 72° of CCW rotation will bring point N to the next vertex in the CCW direction. Rotation of 288° will move point N 4 vertices CCW, equivalent to 1 vertex in the CW direction. Either way, that point is now occupied by point T.

  N' ≅ T

Let x be a binomial random variable with n = 15 and p= .5. Using the exact
binomial calculation and the normal approximation with the continuity
correction, find P(x>6).

Answers

Answer: Choice C) 0.6964;  0.6972

============================================

Work Shown:

n = 15

p = 0.5

q = 1-p = 1-0.5 = 0.5

P(k) = (n C k)*(p)^k*(q)^(n-k)

P(k) = (15 C k)*(0.5)^k*(0.5)^(15-k)

----------------

If you plug in k = 7, then we get,

P(k) = (15 C k)*(0.5)^k*(0.5)^(15-k)

P(7) = (15 C 7)*(0.5)^7*(0.5)^(15-7)

P(7) = 6435*(0.5)^7*(0.5)^8

P(7) = 0.1964

-----------------

Repeat for k = 8 all the way through k = 15. You could do this by hand, but I recommend using a spreadsheet to make things go much quicker.

Once you determine those values, add them up and you should get 0.6964 which is the binomial probability we want.

------------------

As for the normal approximation, you'll need to compute the mu and sigma to get

mu = n*p = 15*0.5 = 7.5sigma = sqrt(n*p*q) = sqrt(15*0.5*0.5) = 1.93649 which is approximate.

The normal distribution will have those parameters.

Since we're using a continuity correction, we need to bump the x = 6 up to x = 6.5, since we want to be larger than 6

Let's find the z score

z = (x - mu)/sigma

z = (6.5 - 7.5)/(1.93649)

z = -0.516398

Now use a Z table or a calculator to determine that P(Z > -0.516398) = 0.6972 approximately. If you're using a TI calculator, then you'll use the normalCDF function. If you're using excel, then you would use the NormDist function (make sure to turn the cumulative flag to "true"). Alternatively, you can search out free z calculators to get the job done.

Find the upper 20%of the weight?

Answers

Answer:

The upper 20% of the weighs are weights of at least X, which is [tex]X = 0.84\sigma + \mu[/tex], in which [tex]\sigma[/tex] is the standard deviation of all weights and [tex]\mu[/tex] is the mean.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Upper 20% of weights:

The upper 20% of the weighs are weighs of at least X, which is found when Z has a p-value of 0.8. So X when Z = 0.84. Then

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.84 = \frac{X - \mu}{\sigma}[/tex]

[tex]X = 0.84\sigma + \mu[/tex]

The upper 20% of the weighs are weights of at least X, which is [tex]X = 0.84\sigma + \mu[/tex], in which [tex]\sigma[/tex] is the standard deviation of all weights and [tex]\mu[/tex] is the mean.

Sadie and Connor both play soccer. Connor scored 2 times as many goals as Sadie. Together they scored 9 goals. Could Sadie have scored 4 goals? Why or why not?

Answers

Answer:

No.

Step-by-step explanation:

Sadie goals = s

that means

2s+ s = 9 (2s is Connor's goals. Twice Sadie's)

3s=9

s=3

Sadie scored 3 goals

4. Dakota earned $30 in simple interest after 5 years. The interest rate was 4%

Answers

Answer:

The final balance is $36.5.

The total compound interest is $6.5.

Step-by-step explanation:

The quotient of 9/10

Answers

Answer:

0.9 is the correct answer

como se obtiene el area de un polígono regular?

Answers

Answer:

Área de un polígono regular. El área o superficie de un polígono es igual al producto del perímetro por la apotema dividido por dos. El perímetro es la suma de todos los lados.

Step-by-step explanation:

Answer:

Step-by-step explanation:

El área de un polígono regular se calcula a partir de su perímetro y su apotema. Sea P el polígono regular con N lados, su área es:

Fórmula del área del polígono regular mediante su perímetro

which statement is true?

Answers

the second statement is correct in my opinion.

Answer:

The y-intercept of function A is less than the y- intercept of function B

hope it is helpful to you

Give the answer in its simplest form

Answers

Answer:

1/52

Step-by-step explanation:

as there is only one of the three of clubs,

total possible outcomes= 52

favourable outcome= 1

P(getting a three of clubs) = total outcome/ favourable outcome

= 1/52

hope this helps

Si compraste 0.5 mts. de alambre grueso con un costo de $ 4.00 pesos por metro y 0.4 mts. de alambre delgado con un costo de $5.00 pesos por metro,
¿Cuánto fue el costo total en la compra de los metros de alambre?

Answers

Answer:

El costo total en la compra es $4.00 pesos.

Step-by-step explanation:

El costo total en la compra de los metros de alambre viene dado por la suma de los costos de los metros individuales de los alambres gruesos y delgados:

[tex] C_{t} = C_{g} + C_{d} [/tex]

En donde:

[tex] C_{t} [/tex]: es el costo total

[tex] C_{g} [/tex]: es el costo del alambre grueso

[tex] C_{d} [/tex]: es el costo del alambre delgado

Podemos encontrar el costo de cada alambre multiplicando el valor por la cantidad de metros:

[tex]C_{g} = 0.5 m*\frac{\$ 4.00}{m} = \$2.00[/tex]

[tex]C_{d} = 0.4 m*\frac{\$ 5.00}{m} = \$2.00[/tex]

Entonces, el costo total es:

[tex]C_{t} = 2.00 + 2.00 = \$4.00[/tex]

Por lo tanto, el costo total en la compra es $4.00 pesos.

                 

Espero que te sea de utilidad!                  

Solve for x. Round to the nearest tenth, if necessary.

Answers

Answer:

X = 3.2

Step-by-step explanation:

sin(42) = x/4.6

0.7 = x/4.6

3.2 = x

find The derivative of:(cosx/1+sinx)^3​

Answers

Answer:

[tex]-\frac{3 \cdot cos^2x}{(1+sinx)^3}[/tex]

Step-by-step explanation:

[tex]y = (\frac{cosx}{1+sinx})^3\\\\\frac{dy}{dx} = 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{dy}{dx}(\frac{cosx}{1+sinx})[/tex]                        [tex][ y = x^n\ \ \ => \ \ \ \frac{dy}{dx} = b \cdot x^{n-1} \ ][/tex]

    [tex]= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{(1+sin x(-sinx) - cosx(cosx)}{(1+sinx)^2}\\\\[/tex]     [tex][\ \frac{u}{v} = \frac{v \dcot u'- u \cdot v'}{v^2}\ ][/tex]

    [tex]= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-sin x-sin^2x- cos^2x}{(1+sinx)^2}\\\\= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-sin x- (sin^2x+ cos^2x)}{(1+sinx)^2}\\\\= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-sin x-1}{(1+sinx)^2}\\\\= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-1 \cdot(sin x+1)}{(1+sinx)^2}\\\\= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-1}{(1+sinx)}\\\\[/tex]

   [tex]= -3 \cdot \frac{cos^2x}{(1+sinx)^3}[/tex]

   

Find the length of an arc of circle of radius 7cm which subtends an angle 84 at the center of the circle

Answers

Answer:

Length of the arc = 10. 26

Step-by-step explanation:

14 × 11 / 15

= 154 / 15

= 10.26

Length of the arc = 10. 26

Hope this answer helps you :)

Have a great day

Mark brainliest

A model train is built at a scale of 1 to 60. If the model train is 10 inches long, how many feet long is the actual train?

Answers

Answer:

60 feet

Step-by-step explanation:

I'm having trouble grasping this one

Answers

Answer:

- 50

Step-by-step explanation:

Given the equation :

2x³ - z

x = - 3 ; z = - 4

Substituting the values into the equation :

2(-3)³ - (-4)

-3³ = - 27

Hence,

2(-27) - (-4)

-54 + 4

= -50

2x³ - z at x = - 3 and z = - 4 is - 50

Find the midpoint of the equation y = 4x - 6 between the x-intercepts and the y-intercepts.​

Answers

Step-by-step explanation:

y int

x=0

y=4(0)-6

y=-6

0;-6

x int

y=0

0=4x-6

6=4x

6/4=x

3/2=x

3/2;0

Answer:

Below in bold.

Step-by-step explanation:

y = 4x - 6

Find y-intercept:

y = 4(0) - 6 = -6

Y intercept is at (0, -6)

x-intercept:

4x - 6 = 0

4x = 6

x = 6/4 =1.5.

x intercept is at (1.5, 0)

Midpoint is at ((0+1.5)/2, (-6 + 0)/2)

= (0.75, -3)

I need help pls and thank you

Answers

Answer:

unbounded region

A feasible region that cannot be enclosed in a closed figure is known as an unbounded region. A feasible region is a set of all possible points of an optimization problem that satisfy the problem's constraints; feasible sets may be bounded or unbounded.

Step-by-step explanation:

A jogger travelled 52km in 4 days.what is the rate he travelled per day?

Answers

52km multiply by 4(days)=208

HELP PLEASE BEING TIMED! SHOW WORK
The clinic has collected data finding that the total number of people in their service area is 50,000, 27% of the community is over the age of 65 and immunocompromised, and 11% of the community under 65 is immunocompromised. While the clinic wishes to market to all members of the community, immunocompromised people over 65 are their current priority.
1. Express the total number of people to which the health clinic must do outreach.

Answers

Answer:

13500 people

Step-by-step explanation:

0.27 x 50000 = 13500

Using proportions, it is found that the clinic must outreach 13,500 people.

---------------------------

The total number of people in the area is of 50,000.Of those 50,000, 27% are over the age of 65 and immunocompromised, which is the current priority for the clinic.The total number of people the clinic must outreach, thus, is 27% of 50,000, given by:

[tex]T = \frac{27}{100} \times 50000 = 0.27(50000) = 13500[/tex]

The clinic must outreach 13,500 people.

A similar problem is given at https://brainly.com/question/22295885

need help with these table

Answers

Tens: 73,650
Hundreds: 73,700
Thousands: 74,000

A company hopes to improve customer satisfaction, setting a goal of less than 5% negative comments. A random survey of 850 customers found only 34 with complaints. Does this provide evidence at the 10% significance level that the company has reached its goal of decreasing the percentage of complaints

Answers

Answer:

The p-value of the test is 0.0901 < 0.1, which means that this provides evidence at the 10% significance level that the company has reached its goal of decreasing the percentage of complaints.

Step-by-step explanation:

A company hopes to improve customer satisfaction, setting a goal of less than 5% negative comments.

At the null hypothesis, we test if the proportion of negative comments is of at least 5%, that is:

[tex]H_0: p \geq 0.05[/tex]

At the alternative hypothesis, we test if this proportion is less than 0.05, that is:

[tex]H_1: p < 0.05[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.05 is tested at the null hypothesis:

This means that [tex]\mu = 0.05, \sigma = \sqrt{0.05*0.95}[/tex]

A random survey of 850 customers found only 34 with complaints.

This means that [tex]n = 850, X = \frac{34}{850} = 0.04[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.04 - 0.05}{\frac{\sqrt{0.05*0.95}}{\sqrt{850}}}[/tex]

[tex]z = -1.34[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion below 0.04, which is the p-value of z = -1.34.

Looking at the z-table, z = -1.34 has a p-value of 0.0901.

The p-value of the test is 0.0901 < 0.1, which means that this provides evidence at the 10% significance level that the company has reached its goal of decreasing the percentage of complaints.

1. Determine the length of JG using
circle D.
Show your work and write out your
justification.
Be prepared to answer questions
about additional angles, arcs and
segments from circle D.

Answers

Given:

In circle D, [tex]\angle EDH\cong \angle EDG[/tex].

To find:

The length of JG.

Solution:

We know that, if two central angles are congruent then the corresponding chords are congruent and their measures are equal.

We have,

[tex]\angle EDH\cong \angle EDG[/tex]

It means chords EH and EG are congruent and their measures are equal.

[tex]EH=EG[/tex]

[tex]9=EG[/tex]

Using segment addition property, we get

[tex]EJ+JG=EG[/tex]

[tex]4+JG=9[/tex]

[tex]JG=9-4[/tex]

[tex]JG=5[/tex]

Therefore, the length of JG is 5 units.

Answer:

5

Step-by-step explanation:

What is 39% of 921?


Btw good morning to everybody!

Answers

Answer:

359.19 And good morning to you

Step-by-step explanation:

Answer:

359.19 is the 39% of 921

good afternoon to you

At Downunder Farms, Jamie is packing kiwi fruit in shipping crates. Each tray
holds 58 kiwis, and he can put 6 trays in a crate. How many kiwis does the
crate contain when it is full?
A. 64 kiwis
B. 290 kiwis
C. 348 kiwis
D. 174 kiwis

Answers

Answer:

348 kiwis

Step-by-step explanation:

Jamie is packing Kiwie fruits into a tray

Each tray holds 58 kiwis

He can put 6 trays in a crate

Hence when the craye is full the number of kiwis it will contain can be calculated as follows

°= 58×6

= 348 kiwis

Roman numeral for 67​

Answers

Answer:

LXVII

Step-by-step explanation:

The roman numeral for 67 is LXVII

LX represents 60 and VII represents 7

Answer :

LXVII

LX=60 and VII=7

Which ordered pairs are solutions to the equation x+6y=4?

Answers

Answer:

(10 , -1)

Step-by-step explanation:

(10)+6(-1)=4

10-6=4

Write an equation. Let x be the unknown number.

10 is the sum of three and twice a number

Answers

Answer:

10 = 3 + 2x

Step-by-step explanation:

twice the number is 2x

the sum of 2x and 3 is written as 2x + 3

2x + 3 =10

10 is the SUM of 3 and TWICE a number
So 3 and twice a number..would add up to 10. Twice a number is like times a number by 2.
So let’s write the equation:
10=3+2x or 3+2x=10
Other Questions
easy simple math39.99 x 7.25 Rolling Coast Inc. issued BBB bonds two years ago. These bonds provided a yield to maturity (YTM) of 11.5 percent. Long-term risk-free government bonds were yielding 8.7 percent at the time. The current risk premium on BBB bonds versus government bonds is half of what it was two years ago. If the risk-free long-term government bonds are currently yielding 7.8 percent, then at what interest rate should Rolling Coast expect to issue new bonds What type of religious freedom existed in the Soviet Union? one religion many religions complete none Electrode A has a standard reduction potential of -0.21 volts and electrode B has a standard reduction potential of -0.15 volts. What electrode is the anode?will give brainiest to person with the best answer A bag contains red, white and black counters. The pie chart shows information about the counters in the bag. What fraction of the counters are red ? Give your answer in its simplest form. AT YOUR NEW JOB AT THE COFFEESHOP, YOU SOLD 42 LARGECOFFEES AND 54 SMALL COFFEES.WHAT WAS THE RATIO OF LARGETO SMALL COFFEES YOU SOLD? What is the slope given the two points?(-3,12) & (4,5) What best explains why it is difficult for Brazil to protect its rain forest and improve its economy at the same time? The amount of the estimated average income for a proposed investment of $60,000 in a fixed asset, giving effect to depreciation (straight-line method), with a useful life of four years, no residual value, and an expected total income yield of $21,600, is: Group of answer choices $10,800 $21,600 $ 5,400 $30,000 spherevolume = (4.0 / 3.0) * pival * sphereradius * sphereradius * sphereradius ; where can i find barbie dreamhouse adventures movie High on a mountaintop in Peru stands an ancient Inca city called Machu Picchu. About 800,000 tourists visit thecity each year. However, some people are worried about the treasured ruins of Machu Picchu. They are alsoworried about the safety of visitors. Scientists have noted the negative effects that tourists have on the ruins.Machu Picchu was never made for so many people. It was made for sandals and bare feet. Boots and hikingshoes leave scars upon the city walls. The busy road leading to Machu Picchu is also a problem. It often hasmudslides. Tourists visiting the city could be hurt.Do It!Tourists areMachu Picchu.A avoidingB forgettingc damagingDrepairing Please solve this question for me. help me with this mathematics Solve the following quadratic equation by using the Quadratic Formula: X+ 2x - 3 Which statement describes the graph? 9.(adjective) Kind people are often rewarded.What is the adjective At 500K, the equilibrium constant for the reaction N2O4D2NO2 is 1.5 x 10^3. What is the equilibrium constant for the reaction: 6 NO2 D 3N2O4? Select the correct graph of the equation. How long does it take you to create 200 Watts of power if you use 1000 J ofwork?