Identify the critical t. An independent random sample is selected from an approximately normal population with unknown standard deviation. Find the degrees of freedom and the critical t value t∗t∗ for the given sample size and confidence level. Round critical t values to 3 decimal places.Sample size, n Confidence level Degree of Freedom Critical value, t∗t∗5 90 13 95 22 98 15 99

Answers

Answer 1

Answer and Step-by-step explanation: The critical value for a desired confidence level is the distance where you must go above and below the center of distribution to obtain an area of the desired level.

Each sample has a different degree of freedom and critical value.

To determine critical value:

1) Calculate degree of freedom: df = n - 1

2) Subtract the level per 100%;

3) Divide the result by 2 tails;

4) Use calculator or table to find the critical value t*;

For n = 5 Level = 90%:

df = 4

t = [tex]\frac{1-0.9}{2}[/tex] = 0.05

Using t-table:

t* = 2.132

n = 13 Level = 95%:

df = 12

t = [tex]\frac{1-0.95}{2}[/tex] = 0.025

Then:

t* = 2.160

n = 22 Level = 98%

df = 21

t = [tex]\frac{1-0.98}{2}[/tex] = 0.01

t* = 2.819

n = 15 Level = 99%

df = 14

t = [tex]\frac{1-0.99}{2}[/tex] = 0.005

t* = 2.977

The critical values and degree of freedom are:

sample size          level           df              critical value

     5                      90%           4                   2.132

   13                       95%            12                 2.160

   22                      98%            21                 2.819

   15                       99%            14                 2.977


Related Questions

For which value of p will the equation 6x – 5 = 6x + p have an infinite number of solutions?
A. 5
B. 0
C. -10
D. -5

Answers

Answer:

the answer is b

Step-by-step explanation:

Solve the following expression: (9 x 10) - (30 + 30). Show all steps taken.

Answers

Answer:

First multiply each brackets

90-60

30

Step-by-step explanation:

Answer:

9 x 3= 27 and 30 + 30=  60.. so 60- 27= 33, but if you want to do 27- 30.. it would be -33.

Step-by-step explanation:

Hope that answers your question!

What is the inequality of y-2x<=-3

Answers

y>= 2x-3
In inequalities when you are moving a negative, you flip the sign.

Manny must choose between a pack of four 6.5-ounce containers of yogurt for $3.61 or three 8-ounce containers at $1.27 each. Which is the better buy? Complete the explanation. If necessary, round to the nearest cent.

Answers

Answer: Three-8 ounce containers

Step-by-step explanation: 3 x 1.29 divided by 0.6= $6.45 for three 8-ounce containers

4 x 3.77 divided by 0.6= $15.08

-3a - 4(a - 6) = 24 - 7a

Solve the equation

Thanks

Answers

-3a-4(a-6)=24-7a

-3a-4a+24=24-7a

-7a+24=24-7a

-7a+24=-7a+24

-7a+24-24=-7a+24-24

Simplify

Subtract the numbers

Subtract the numbers

−7a=-7a

Add 7a to both sides of the equation

-7a+7a =-7a+7a

Simplify

Combine like terms

Combine like terms

0=0

answer is 0=0

Examine circle O, where chords AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ are congruent.

Point P lies on AB and point Q lies on CD.
Angles APO and DQO are right angles.

The diagram as described in the problem.

Which congruence statement is true?

A.) QD≅QO
B.) OP≅AB
C.) CD≅AP
D.) OP≅OQ

Answers

The answer is D.) OP≅OQ

I hope this is the right graph

The answer is D hope this helps

evaluate the expression for x = 3 y= 1/3 and z= 5. 12 x - 3y / 4 x - Z​

Answers

Answer:

5

Step-by-step explanation:

12 x - 3y / 4 x - Z

=12×3-3×1/3÷4×3-5

=36-1/12-5

=35/7

=5

So the final answer is 5.

Which numbers should go in the shaded overlap?
Factors of 30
Factors of 20

Answers

Both of these numbers have 2 and 5 as their factors

12(x-6)and 14(x+14).

plz help

Answers

Answer:

138 and 210?

Step-by-step explanation:

Liam solved the equation 72=8⋅b. His work is shown. What error did Liam make?

Answers

Hdjalvekfbdkalalalala lalalallala lalalal

The proportion of observations from a standard Normal distribution that take values larger than -0.75 is about A) 0.2266 B) 0.7704 C) 0.7734 D) 0.7764 E) 0.8023

Answers

Answer:

Option C: 0.7734

Step-by-step explanation:

From z-distribution table attached,

P(Z ≤ -0.75) = 0.2266

However, we are looking for proportion of observations from a standard Normal distribution that take values larger than -0.75.

Thus;

P(Z > -0.75) = P(Z ≤ 0.75) = 1 - 0.2266

P(Z > -0.75) = 0.7734

Option C is the correct answer.

Find the missing measure and write your solution on the blank provided

Answers

Answer:

5: c=65  d=125  e=60

6: c= 58 d= 121 e=63

7. a=55 b=64 c=61

8. a=61 b=55 c=64

Step-by-step explanation: :)

A rectangular pool has a length of 200 ft. You're building a model. Using a scale
factor of 1725, what is the scale length of your model? *

Answers

Answer:

1.4 inches.

Step-by-step explanation:

Given that the length of the pool = 200 ft.

Scale factor = 1725.

As,

[tex]\text{Scale factor }=\frac{\text{Original length}}{\text{Scaled length}}[/tex]

So,

[tex]\text{Scaled length} = \frac{\text{Original length}}{\text{Scale factor}}[/tex]

By using the given values, we have

{Scaled length} [tex]= \frac{200}{1725} ft.=0.116 ft.[/tex]

As 1 foot = 12 inch,

So, scaled length = 0.116 x 12 = 1.4 inches.

Hence, the scale length of the model = 1.4 inches.

5(x+2) - 3 = 2x + 7 + 3x *
One Solution
No Solution
Infinitely Many Solutions

5x + 27x - 10 = 8(4x +10)
One Solution
No Solution
Infinitely Many Solutions

Answers

Answer:

First we must solve them both to determine,

5(x+2)-3=2x+7+3x
5x+10-3=5x+7
5x+7=5x+7

The statement is True or has Infinitely Many Solutions.

5x+27x-10=8(4x+10)
32x-10=32x+80
-10=80

The statement is False or has No Solution.

If x is the principal square root of 7, what must be true.

A. x = 7², and x is negative

B. x² = 7, and x is positive

C. x = 7², and x is positive

D. x² = 7, and x is negative ​

Answers

Answer:

B

Step-by-step explanation:

x=√7

squaring

x²=7

Guided Practice
CPCTC
Given
KGK
H is the midpoint of GK
Prove:
Side FG - Side JK
Statement
Reason
es

Answers

5 is it I think this crazy

Explain to me in words how you would find the slope of this line and explain answer

Answers

Answer:
7/3

Explanation:
The slope of the line is equal to the rise/run, or in other words, the number of units the line travels upwards over the number of units the line travels to the right.

We can identify the slope using any two points on the line. Here, we can use the two points that are marked on the picture. The second point is 7 units above the first and 3 units to the right of the first, so the slope of the line is equal to 7/3.

Another way to calculate the slope of the line is the use this formula:

(y2-y1)/(x2-x1)

The first point is at the coordinate (1,-4) and second point is at the coordinate (4,3). When we plug these two coordinates into the equation, we get this:

(y2-y1)/(x2-x1)
->(3-(-4))/(4-1)

When we simply the fraction, we would get 7/3 and that would give us the slope.

I hope this helps!

PLEASE HELP!!!!!
What is the result when the number 59 is decreased by 7%?

Answers

Answer:

= 59 - (59*0.07)

= 59 - 4.13

= 54.87

Answer:

The result would be 54.87

I WILL GIVE BRAINLIEST ONLY IF YOU ANSWER WELL
Which expression uses the commutative property to make it easier to evaluate 3/5·1/4·25
A.25·4·3/5
B.5/3·25·1/4
C.3\5·25·1\4
D.3/5·1/25·1/4​

Answers

Answer:

I dont know im in middle school can you please giva me one i have to get my grades up

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

3

5

(1)

4

(25)

=

3

5

4

(25)

=

3

20

(25)

=

15

4

Sleep habits of New Yorkers. New York is known as the city that never sleeps". A random sample of 25 New Yorkers were asked how much sleep they get per night. Statistical summaries of these data are shown below. The point estimate suggests New Yorkers sleep less than 8 hours a night on average. Is the result statistically signicant? n x s min max25 7.73 0.77 6.17 9.78(a) Write the hypotheses in symbols and in words.(b) Check conditions, then calculate the test statistic, T, and the associated degrees of freedom.(c) Find and interpret the p-value in this context. Drawing a picture may be helpful.(d) What is the conclusion of the hypothesis test?(e) If you were to construct a 90% condence interval that corresponded to this hypothesis test, would you expect 8 hours to be in the interval?

Answers

Step-by-step explanation:

1.

the null hypothesis:

H0: u = 8 hours ( new Yorkers sleep for 8 hours)

The alternate hypothesis;

H1: u ≠ 8 hours ( new Yorkers sleep less than 8 hours)

b.

test statistic

t = (barX - u)/s/√n

= 7.73-8/0.77/√25

= -1.7532

degree of freedom = n-1

= 25-1 = 24

c.

p(value)

= p(t < -1.7532)

= 0.046

obviously we can see that the p value is less than 0.05 alpha level so we reject the null hypothesis.

d

The data gives strong evidence that new Yorkers sleep less than 8 hours on average every night.

e.

at 90% level of confidence

we have

7.73-0.26334, 7.73+0.26334

= 7.466, 7.993

please check attachment

thank you!

Please help & thank you.

Answers

Answer:

2). 79°; 3). 65°; 4). 45°; 5) 73°

Step-by-step explanation:

m∠4 = 180° - (70° + 65°) = 45°

m∠3 = 180° - (45° + 70°) = 65°

m∠2 + m∠3 = 180° - 36° = 144°

m∠2 = 144° - 65° = 79°

m∠5 = 118° - m∠4 = 118° - 45° = 73°

what is 3 divided by 57.6

Answers

Answer:

0.0520833333 is the answer

Answer:

0.05208333333 (reoccurring)

Step-by-step explanation:

Simple bus stop division (:

Divide. Express your answer in simplest form. ○14 ○ 49 ○98 ○28​

Answers

Answer: 49

see below for work

Answer:

gang gang

Step-by-step explanation:

WHOEVER DOES ALL OF THIS GETS BRAINLYEST AND 5 STARS PLS HELP!!!!!!!!!!!!!!
What is the estimated sum of 8/19 + 6/13?
A. 1/2
B. 1
C. 1 1/2
D. 2
Estimate. 20 9/11 divided by 6 19/20

A. 147
B. 120
C. 4
D. 3
Which of the following is the best estimate of 8 1/8?
A. 7 1/2
B. 8
C. 8 1/2
D. 9

Armenia is baking 24 batches of brownies for the bake sale. Each batch of brownies takes 2 4/5 cups of flour. What is a reasonable estimate of the amount of flour that she will need to bake all twenty-four batches of brownies?
A. 96
B. 72
C. 60
D. 48
What is the estimated difference of 4 9/10 - 1 1/12?
A. 4
B. 3 1/2
C. 3
D. 2 1/2

Which of the following is the most reasonable product of 6 15/17 and 8 21/22
A. 63
B. 56
C. 54
D. 48
What is the estimated sum of ?
A. 7
B. 7 1/2
C. 8
D. 9
What is the estimated sum of 6/7 + 4/7
A. 1/2
B. 1
C. 1 1/2
D. 2

Which of the following is the best estimate of 7/8
A. 0
B. 1/2
C. 1
D. 1 1/2

Which of the following is the best estimate of 24 9/20
A. 23 1/2
B. 24
C. 24 1/2
D. 25

Answers

Answer:

1.  B

2. D

3. B

4. D

5. C

6. A

7. What is the estimated sum of "?" what are we estimating?

8. C

9. C

10. B

Step-by-step explanation:

1st question

1/4 ≤ 8/19 ≤ 3/4, so round it to 1/2.

1/4 ≤ 6/13 ≤ 3/4, so round it to 1/2.

Estimating:

1/2 + 1/2 = 1

2nd question

220 9/11 divided by 6 19/20 = 2.99542184434

Rounded/estimated = 3

3rd Question

Estimate 8 1/8 (common sense)

8 1/8 = 8.

4th Question

Assuming cups = 2.

2x24 = 48.

5th Question

3

6th Question

Add and estimate

7th question

What is the estimated sum of "?" what are we estimating?

8th question

6/7 > 3/4, so round it to 1.

1/4 ≤ 4/7 ≤ 3/4, so round it to 1/2.

Estimating:

1 + 1/2 = 1  1/2

9th Question

Round 7 to 8. It is over half, so it would be 8, which = 1

10th Question

Half of 20 = 10, 9 isn't above 10.

So round backwards to 24.

Answer:

A)4

72

1

22

3

36

33

3

Step-by-step explanation:


What is the value of 15/2+I?

Answers

Answer:

First, make the denominators

15/2+2/2

Then, add

17/2

If you want it in decimal points

8.5

Step-by-step explanation:

I hope I explained well, please give me brainliest

First divide 15/2= 7.5 and then add 7.5 with the 1 = 8.5
If you want a fraction just remove the point like this
85 and divide by 10
85= 17/2.
10
Hope that helps :D

41 divide by 278.8 hi my name chavoria

Answers

If you divide 41 by 278.8 it equals 0.147058823529412


I believe u might of meant 278.8 divided by 41 which equals 6.8

Determine the sample size required to estimate a population mean to within 10 units given that the population standard deviation is 60. A confidence level of 90% is judged to be appropriate.

Answers

Answer: 98

Step-by-step explanation:

Formula to find sample size if population standard deviation is known:

[tex]n=(\dfrac{z^c\times\sigma}{E})^2[/tex] , where [tex]\sigma=[/tex]population standard deviation, [tex]z^c[/tex] =Critical z-value for confidence level, E= Margin of error.

Given: [tex]\sigma=30,\ \ \ E=10[/tex]

Critical z-value for 90% confidence = 1.645

[tex]n=(\dfrac{1.645\times60}{10})^2\\\\=(1.645\times6)^2\\\\=9.87^2\\\\=97.4169\approx98[/tex]

Required minimum sample size = 98

X - 2
x2-2x + 3
4.
x + 3
x + 3​

Answers

Answer:

The equation is likely (x2 -2x -3)/(x+2) and to simplify you can do polynomial synthetic division or long division. Using long division because it works in all cases:

       ________

x+2√x2 -2x -3             how many times does x go into x2  , x times

       x - 4 ______

x+2√x2  - 2x -3            multiply x by x + 2 and create the next row

     -(x2 )

          -4x - 3             bring down the -3 and repeat first step. how many times does x go into -4x, -4 times

        -(-4x - 8)            multiply x + 2 by -4

               

                   5             (this is the remainder but it must be in the form 5/(x+2)

so the answer is x - 4 + 5/(x + 2). Hopefully, this is what your teacher considers "simplified".

                         

Step-by-step explanation:

Copied this from wyzant.com.  

Please answer i wanna get this over with h ^-2 / h ^4

Answers

Answer:

= h^-6

Step-by-step explanation:

When dividing powers you subtract them (indices rules)

--> -2 - 4 = -6

Hope this helps, please mark as brainliest

(39×5) to siplifiy please help

Answers

Answer:

195

Step-by-step explanation:

you just muliply

Answer:

The answer is 175! :)

I recommend searching or creating a times table for yourself, they are incredibly handy! Easy to print off or write down. :))

Step-by-step explanation:

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