Discussion:
Q: 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 director'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 in data file xr10056. Use a hypothesis test to determine if the mean "mall shopping expenditure for teens" in this area is higher than for all U.S. teens. Identify and interpret the p-value for the test. Using the 0.025 level of significance, what conclusion do you reach?
| Spent |
| 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 |
| 37.30 |
| 56.98 |
| 36.51 |
| 52.23 |
| 46.55 |
| 52.06 |
| 11.84 |
| 57.28 |
| 51.73 |
| 50.24 |
| 66.58 |
| 18.39 |
| 19.15 |
| 37.50 |
| 22.17 |
| 48.98 |
| 40.63 |