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In: Statistics and Probability

The academic motivation and study habits of female students as a group are better than those...

The academic motivation and study habits of female students as a group are better than those of males. The Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures these factors. The distribution of SSHA scores among the women at a college has mean 120 and standard deviation 28, and the distribution of scores among male students has mean 105 and standard deviation 35. You select a single male student and a single female student at random and give them the SSHA test.

**No sample size was given

a) Explain why it is reasonable to assume that the scores of the two students are independent.

b) What are the expected value and standard deviation of the difference (female minus male) between their scores?

c) From the information given, can you find the probability that the wom

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