Question

A recent study focused on the number of times men and women who live alone buy take-out dinner in a month. Assume that the distributions follow the normal probability distribution and the population standard deviations are not equal. The information is summarized below. At the .01 significance level, is there a difference in the mean number of times men and women order take-out dinners in a month?

Statistic	Men	Women
Sample mean	23.81	21.97
Sample standard deviation	5.67	4.61
Sample size	32	36

Compute the value of the test statistic. (Round your answer to 3 decimal places.)

Value of the test statistic

3.	What is the p-value? (Round your answer to 4 decimal places.)

p-value

Answer 1

Given that,

For Men :

For Women :

The null and the alternative hypotheses are,

Using TI-84 calculator, we get,

Test statistic = t = 1.457

p-value = 0.1504