In a particular country, it is known that college seniors report falling in love an average of 2.20 times during their college years. A sample of five seniors, originally from that country but who have spent their entire college career in the United States, were asked how many times they had fallen in love during their college years. Their numbers were 2, 3, 5, 5, and 2. Using the .05 significance level, do students like these who go to college in the United States fall in love more often than those from their country who go to college in their own country?
(a) Use the steps of hypothesis testing.
(b) Sketch the distributions involved.
(c) Explain your answer to someone who is familiar with the Z test but is unfamiliar with the t test for a single sample