Gestation period is the length of pregnancy, or to be more precise, the interval between fertilization and birth. In Syrian hamsters, the average gestation period is 16 days. Suppose you have a sample of 31 Syrian hamsters who were exposed to high levels of the hormone progesterone when they were pups, and wi have an average gestation length of 17.1 days and a sample variance of 26.0 days. You want to test the hypothesis that Syrian hamsters who were exposed to high levels of the hormone progesterone when they were pups have a different gestation length than all Syrian hamsters. Calculate the t statistic. To do this, you first need to calculate the estimated standard error. The estimated standard error is SM= The t statistic is Now suppose you have a larger sample size n = 95. 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 The new t statistic is

Gestation period is the length of pregnancy, or to be more precise, the interval between fertilization and birth. In Syrian hamsters, the average gestation period is 16 days. Suppose you have a sample of 31 Syrian hamsters who were exposed to high levels of the hormone progesterone when they were pups, and wi have an average gestation length of 17.1 days and a sample variance of 26.0 days. You want to test the hypothesis that Syrian hamsters who were exposed to high levels of the hormone progesterone when they were pups have a different gestation length than all Syrian hamsters. Calculate the t statistic. To do this, you first need to calculate the estimated standard error. The estimated standard error is SM= The t statistic is Now suppose you have a larger sample size n = 95. 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 The new t statistic is

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Take your time answer the questions, this is all one question, please answer correctly, thank you very much, will write an wonderful review when solutions are done.

What is the probability of getting the t statistic or something more extreme for the sample size of n = 31? p =
probability of getting the t statistic or something more extreme for the sample size of n = 95? p =
What is the
The t distribution is
▼with a larger 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.)

4. The t statistic, the t distribution, and sample size
Gestation period is the length of pregnancy, or to be more precise, the interval between fertilization and birth. In Syrian hamsters, the average
gestation period is 16 days.
Suppose you have a sample of 31 Syrian hamsters who were exposed to high levels of the hormone progesterone when they were pups, and who
have an average gestation length of 17.1 days and a sample variance of 26.0 days. You want to test the hypothesis that Syrian hamsters who
were exposed to high levels of the hormone progesterone when they were pups have a different gestation length than all Syrian hamsters.
Calculate the t statistic. To do this, you first need to calculate the estimated standard error. The estimated standard error is SM=
The t statistic is
Now suppose you have a larger sample size n = 95. 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
The new t statistic is
Note that the t statistic becomes
as n becomes smaller.
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 dick 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.

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