Question: “Working Mom’s Journal” reported that the mean time a mother, with her small children, spends in at the convenience store is 7.3 minutes. A sample of 20 moms is chosen from your neighborhood, and it is found that the mean time they spend in a convenience store was 8.2 minutes with a standard deviation of 1.4 minutes. Using \[\alpha =.05\], test the claim that the average amount of time a mom and her children spend in a convenience store is greater than 7.3 minutes.

a. Determine which test statistic you will use: the standard normal distribution, or the student’s t distribution. Explain why you chose this test statistic.

b. Establish the null and alternative hypotheses, state the claim.

c. Test the claim at \[\alpha =.05\] and discuss your results, should you reject or not reject the null hypothesis, should you reject or except the claim.