process for the other sample. t Distribution Degrees of Freedom = 52 -3.0 -2.0 -1.0 0.0 1.0 2.0 3.0 AA What is the probability of getting the t statistic or something more extreme for the sample size of n = 29? p = . What is the probability of getting the t statistic or something more extreme for the sample size of n = 75? p =. The t distribution is with a smaller n. (Hint: To best see this, click the radio button in the tool with no vertical lines. Slowly move the Degrees of Freedom slider from the smallest value to the largest value, and observe how the shape of the distribution changes.)
process for the other sample. t Distribution Degrees of Freedom = 52 -3.0 -2.0 -1.0 0.0 1.0 2.0 3.0 AA What is the probability of getting the t statistic or something more extreme for the sample size of n = 29? p = . What is the probability of getting the t statistic or something more extreme for the sample size of n = 75? p =. The t distribution is with a smaller n. (Hint: To best see this, click the radio button in the tool with no vertical lines. Slowly move the Degrees of Freedom slider from the smallest value to the largest value, and observe how the shape of the distribution changes.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Please complete the subset !
![Do: Graded Chapter 9 Problem Set
4. The t statistic, the t distribution, and sample size
The average duration of labor from the first contraction to the birth of the baby in women over 35 who have not previously given birth and who did not
use any pharmaceuticals is 16 hours.
Suppose you have a sample of 29 women over 35 who have not previously given birth who exercise daily, and who have an average duration of labor
of 17.3 hours and a sample variance of 37.2 hours. You want to test the hypothesis that women over 35 who have not previously given birth and who
exercise daily have a different duration of labor than all women over 35 who have not previously given birth.
Calculate thet statistic. To do this, you first need to calculate the estimated standard error. The estimated standard error is sM= 1.1326 v . The t
statistic is 1.15 ▼
Now suppose you have a larger sample size n = 75. Calculate the estimated standard error and the t statistic for this sample with the same sample
average and the same standard deviation as above, but with the larger sample size. The new estimated standard error is 0.7043 v . The new t
statistic is 1.85
Note that the t statistic becomes larger
as n becomes larger.
Use the Distributions tool to look at the t distributions for different sample sizes. To do this, choose the Degrees of Freedom for the first sample size on
the slider, and click the radio button with the single orange line. Move the orange vertical line to the right until the number below the orange line is
located on the t statistic. The probability of getting that t statistic or one more extreme will appear in the bubble with the orange type. Now repeat the
process for the other sample.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fed325823-0827-438f-ba4f-c25093b9455c%2F69925881-41b9-45c1-b49e-0535513e3136%2F215p5q_processed.png&w=3840&q=75)
Transcribed Image Text:Do: Graded Chapter 9 Problem Set
4. The t statistic, the t distribution, and sample size
The average duration of labor from the first contraction to the birth of the baby in women over 35 who have not previously given birth and who did not
use any pharmaceuticals is 16 hours.
Suppose you have a sample of 29 women over 35 who have not previously given birth who exercise daily, and who have an average duration of labor
of 17.3 hours and a sample variance of 37.2 hours. You want to test the hypothesis that women over 35 who have not previously given birth and who
exercise daily have a different duration of labor than all women over 35 who have not previously given birth.
Calculate thet statistic. To do this, you first need to calculate the estimated standard error. The estimated standard error is sM= 1.1326 v . The t
statistic is 1.15 ▼
Now suppose you have a larger sample size n = 75. Calculate the estimated standard error and the t statistic for this sample with the same sample
average and the same standard deviation as above, but with the larger sample size. The new estimated standard error is 0.7043 v . The new t
statistic is 1.85
Note that the t statistic becomes larger
as n becomes larger.
Use the Distributions tool to look at the t distributions for different sample sizes. To do this, choose the Degrees of Freedom for the first sample size on
the slider, and click the radio button with the single orange line. Move the orange vertical line to the right until the number below the orange line is
located on the t statistic. The probability of getting that t statistic or one more extreme will appear in the bubble with the orange type. Now repeat the
process for the other sample.
![Do: Graded Chapter 9 Problem Set
process for the other sample.
t Distribution
Degrees of Freedom = 52
A A
-3.0
-2.0
-1.0
0.0
1.0
2.0
3.0
What is the probability of getting the t statistic or something more extreme for the sample size of n = 29? p =
. What is the probability of
getting the t statistic or something more extreme for the sample size of n = 75? p =
The t distribution is
with a smaller n. (Hint: To best see this, click the radio button in the tool with no vertical
lines. Slowly move the Degrees of Freedom slider from the smallest value to the largest value, and observe how the shape of the distribution
changes.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fed325823-0827-438f-ba4f-c25093b9455c%2F69925881-41b9-45c1-b49e-0535513e3136%2F5j8v686_processed.png&w=3840&q=75)
Transcribed Image Text:Do: Graded Chapter 9 Problem Set
process for the other sample.
t Distribution
Degrees of Freedom = 52
A A
-3.0
-2.0
-1.0
0.0
1.0
2.0
3.0
What is the probability of getting the t statistic or something more extreme for the sample size of n = 29? p =
. What is the probability of
getting the t statistic or something more extreme for the sample size of n = 75? p =
The t distribution is
with a smaller n. (Hint: To best see this, click the radio button in the tool with no vertical
lines. Slowly move the Degrees of Freedom slider from the smallest value to the largest value, and observe how the shape of the distribution
changes.)
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