The Bath Heritage Days, which take place in Bath, Maine, have been popular for, among other things, an eating contest. In 2009, the contest switched from blueberry pie to a Whoopie Pie...

The Bath Heritage Days, which take place in Bath, Maine, have been popular for, among other things, an eating contest. In 2009, the contest switched from blueberry pie to a Whoopie Pie (www.timesrecord.com), which consists of two large, chocolate cake–like cookies filled with a large amount of vanilla cream. Sixty-five randomly selected adults are chosen to eat a 1-pound Whoopie Pie, and the average time for 59 adults (out of these 65) is 127.10 seconds. Based on other Whoopie Pie–eating contests throughout the United States, suppose that the standard deviation of the times taken by all adults to consume 1-pound Whoopie pies are known to be 23.80 seconds.

a. Find the p-value for the test of hypothesis with the alternative hypothesis that the mean time to eat a 1-pound Whoopie Pie is more than 2 minutes. Will you reject the null hypothesis at Explain. What if

b. Test the hypothesis of part a using the critical-value approach. Will you reject the null hypothesis at