Answered: Gestation period is the length of…

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

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 sMM= a. 31,

b. 0.5232, c. 0.7328, d. 0.9158.

The t statistic is- a. 1.50, b. 2.10, c. 2.63, d. 1.20

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 a. 0.4189,

b. 0.5232, c. 0.9158, d. 0.7328 . The new t statistic is a. 2.63, b. 2.10,

c. 1.50, d. 1.20 .

Note that the t statistic becomes (larger/smaller) as n becomes smaller.

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