Testing Hypotheses: One Sample Tests

A manufacturer of petite women’s sportswear has hypothesized that the average weight of the women buying its clothing is 110 pounds. The company takes two samples of its customers and finds one sample’s estimate of the population mean is 98 pounds, and the other sample pro- duces a mean weight of 122 pounds. In the test of the company’s hypothesis that the population mean is 110 pounds versus the hypothesis that the mean does not equal 110 pounds, is one of these sample values more likely to lead us to accept the null hypothesis? Why or why not?

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