The average duration or labor from the first contraction to the bim of the baby in women over 35 who have not previously given brth and who did not use any pharmaceuticals is 26 hours. Suppose you have a sample of 33 women who exercise daly, and who have an average duration of labor of 16.9 hours and a sampie variance of 20.3 hours. You want to test the hypothesis that women who exercise daly have a omerent duration of labor than all women. Calculate the t statistic To do this, you first nend to calculate the estimated standard emor. The estimated standard emor is s- statistie is The t Now suppose you have a larger sample sizen-81. Calculate the estimated standard emror and the t statistic for this sample wth the same sample average and the same standard deviation as above, but with the larger sample sze. The new estmated standard error at - sa becomes larger. Note that the t statsti becomes Use the Distributions tool to look at the tdstrbutions for efterent sample szes. To do this, choose the Degrees of Freedom for the finst sample sze on the sider, and cick the radio bumon with the single orange line. Move the orange vertical line to the nght unti the number below the orange line is located on the tate. The probability at getting that t statstic or one more estreme will appear in the bubble with the orange type. Now repeat the process for the other sample. -d t -upas adues aa auo aou Sunues eana a Sust laeud aaau of getting thet statistic or something more extreme for the sample size of n-S17p- Thet dstribution is nallern. (Mint: to best see dick the rado bumon in the tool with no vertical Ines. Slowly move the Degrees of Freedom slider from the smalest value to the largest value, and observe how the shape of the distribution changes.)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Question

1st blank: 0.6267, 0.5006, 33, 0.7843

2nd blank: 1.44, 2.25, 1.15, 1.80

3rd blank: 0.7843, 0.6267, 0.5006, 0.4

4th blank: 2.25, 1.80, 1.15, 1.44

5th blank: larger or smaller

6th blank: 0.2689, 0.1293, 0.0145, 0.0378

7th blank: 0.0378, 0.1293, 0.0100, 0.2612

8th blank: flatter and more spread out or more like the z distribution 

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 nat
t
use any pharmaceuticals is 16 hours.
Suppose you have a sample of 33 women who exercise daily, and who have an average duration of labor of 16.9 hours and a sample variance of 20.3
hours. You want to test the hypothesis that women who exercise daily have a different duration of labor than all women.
Calculate thet statistic. To do this, you first need to calculate the estimated standard error. The estimated standard error is sy -
▼ . The t
statistic is ▼
Now suppose you have a larger sample size n- 81. Calculate the estimated standard error and thet 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
Y. The new t
statistic isv
Note that the t statistic becomes 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
s
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 ather sample.
I Distritution
Degs of en
-1.0
1.0
20
-3.0
3.0
What is the probablity of getting the t statistic or something more extreme for the sample size of n- 33? p -
What is the prabability
of getting the t statistic or something more extreme for the sample size of n- 81? p-
v
with a smaller n. (Hint: To best see this, click the radio button in the tool with no vertical
The t distribution is
Ines. Slowly move the Degrees of Freedom slider from the smallest value to the largest value, and observe how the shape of the distribution
changes.)
2:41 PM
O Type here to search
A A ENG
民
2021-11-30
Transcribed Image Text: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 nat t use any pharmaceuticals is 16 hours. Suppose you have a sample of 33 women who exercise daily, and who have an average duration of labor of 16.9 hours and a sample variance of 20.3 hours. You want to test the hypothesis that women who exercise daily have a different duration of labor than all women. Calculate thet statistic. To do this, you first need to calculate the estimated standard error. The estimated standard error is sy - ▼ . The t statistic is ▼ Now suppose you have a larger sample size n- 81. Calculate the estimated standard error and thet 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 Y. The new t statistic isv Note that the t statistic becomes 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 s 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 ather sample. I Distritution Degs of en -1.0 1.0 20 -3.0 3.0 What is the probablity of getting the t statistic or something more extreme for the sample size of n- 33? p - What is the prabability of getting the t statistic or something more extreme for the sample size of n- 81? p- v with a smaller n. (Hint: To best see this, click the radio button in the tool with no vertical The t distribution is Ines. Slowly move the Degrees of Freedom slider from the smallest value to the largest value, and observe how the shape of the distribution changes.) 2:41 PM O Type here to search A A ENG 民 2021-11-30
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,