Please read the (hint) that is the options for all of the questions about the tr

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Please read the (hint) that is the options for all of the questions about the treatment effect ..small, medium, large

BaCK O Attempts: 3 Average: 3/f8 AaAa 4. The t statistic, the t distribution, and sample size Gestation period is the length of pregn Syrian hamsters, the average gestation period is 16 days. ancy, or to be more precise, the interval between fertilization and birth. In 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 larger. Use the Distributions tool to look at the t distributions for different Freedom for the first sample size on the slider, and 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. sample sizes. To do this, choose the Degrees of click the radio button with the single orange line. Move the

Explanation / Answer

Standard error (SM) = sqrt( s2/n)

= Sqrt(33.7/27)

= 1.117

Test statistic is t = (x - mean)/SM

= (17.4 - 16)/1.117

= 1.25

For n = 95

SM = sqrt (33.7/95) = 0.596

t = (17.4 - 16)/0.596

= 2.35

The t test statistic becomes greater as n becomes larger.

  

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