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
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Chapter1: Starting With Matlab
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Choice for estimated standard error: 0.5956, 1.1172, 27, .8930

Choices for t statistic: 1.25, 1.57, 2.94, 2.35

Choices for new estimated standard error: .5956, 1.1172, .4761, .8930

Choices for new t statistic: 2.35, 1.25, 1.57, 2.94

T statistic become ______ as n becomes smaller: larger, smaller

 

 

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 27 Syrian hamsters who were exposed to high levels of the hormone progesterone when they were pups, and who
have an average gestation length of 17.4 days and a sample variance of 33.7 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.
Transcribed Image Text: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 27 Syrian hamsters who were exposed to high levels of the hormone progesterone when they were pups, and who have an average gestation length of 17.4 days and a sample variance of 33.7 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.
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