Effects of sex and of race on mean earnings


Question 1: The financial aid office of a university asks a sample of students about their employment and earnings. The report says that "for academic year earnings, a significant difference (P=0.038) was found between the sexes, with men earning more on the average. No difference (P=0.476) was found between the earnings of black and white students." Explain both of these conclusions, for the effects of sex and of race on mean earnings, in language understandable to someone who knows no statistics.

Question 2: Your Company sells exercise clothing and equipment on the internet. To design the clothing you collect data on the physical characteristics of your different types of customers. Here are the weights for a sample of 24 male runners. Assume that these runners can be viewed as a random sample of your potential customers. The weights are expressed in kilograms.

68.7 61.8 63.2 53.1 62.3 59.7 55.4 58.9 60.9 69.2 63.7 67.8
65.6 65.5 56.0 57.8 66.0 62.9 53.6 65.0 55.8 60.4 69.3 62.1

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Basic Statistics: Effects of sex and of race on mean earnings
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