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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.

Statistics and Probability, Statistics

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