Question

In: Statistics and Probability

A recent study focused on the number of times men and women who live alone buy...

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 equal. The information is summarized below. Statistic Men Women Sample mean 23.81 21.97 Sample standard deviation 5.67 4.61 Sample size 32 36 At the 0.01 significance level, is there a difference in the mean number of times men and women order take-out dinners in a month?

State the decision rule for 0.01 significance level: H0: μMen= μWomen H1: μMen ≠ μWomen. (Negative values should be indicated by a minus sign. Round your answers to 3 decimal places.)

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

What is your decision regarding the null hypothesis?

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

Solutions

Expert Solution

We calculate the test statistic using the formula mentioned. The critical value and the p value is obtained from STATKEY (image attached for reference). We compare the test statistic with the critical value and make the required decision.

orchestra answered 1 year ago
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