Solutions Statistics

The International Council of Shopping Centers reports that the average teenager spends $39 during a

Question: The International Council of Shopping Centers reports that the average teenager spends $39 during a shopping trip to the mall. The promotions director of a local mall has used a variety of strategies to attract area teens to his mall, including live bands and teen-appreciation days that feature special bargains for this age group. He believes teen shoppers at his mall respond to his promotional efforts by shopping there more often and spending more when they do. Mall management decides to evaluate the promotions directo's success by surveying a simple random sample of 45 local teens and finding out how much they spent on their most recent shopping visit to the mall. The results are listed below. Use a suitable hypothesis test in examining whether the mean mall shopping expenditure for teens in this area might be higher than for US teens as a whole. Identify and interpret the p-value for the test. Using the 0.025 level of significance, what conclusion do you reach?

Spend
40.33
46.06
37.98
50.81
19.03
59.36
31.81
45.98
45.07
40.94
51.06
52.36
45.68
72.28
37.07
40.57
17.44
55.28
41.26
52.34
8.39
61.54
49.94
59.13
44.99
55.47
42.17
26.79
37.3
56.98
36.51
52.23
46.55
52.06
11.84
57.28
51.73
50.24
66.58
18.39
19.15
37.5
22.17
48.98
40.63