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 the t statistic.

Step-by-step explanation:

For computing the t statistic it is essential to first state the hypothesis. Suppose the average duration of labour for women is . Using the t statistic will help us determine whether our sample mean is sufficiently high or low in order to make a conclusion that women who exercise daily have a different duration of labor than all women.

let

Here we will use the fact that for a random sample drawn from any population,

where,

Plugging in the numerical values, we get

is the required t statistic.