The Cranston Hardware Company is interested in estimating the difference in the mean purchase for men customers versus women customers. It wishes to estimate this difference using a 95 percent confidence level. Assume that the variances are equal and the populations normally distributed. The following data represent independent samples from each population:
| Men |
Women |
| 16.49 |
17.21 |
| 33.34 |
17.46 |
| 20.18 |
15.65 |
| 26.39 |
10.67 |
| 28.03 |
14.07 |
| 26.02 |
19.61 |
| 16.08 |
15.90 |
| 32.27 |
11.17 |
| 21.66 |
24.66 |
| 32.32 |
13.35 |
| 29.79 |
20.87 |
| 33.37 |
22.57 |
Based on these data, the company can conclude that there is a statistical difference between men and women with regard to mean spending at the hardware store with men tending to spend more on average than women.