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The math department is trying to determine if their tests have a gender bias. They look...

The math department is trying to determine if their tests have a gender bias. They look at scores at old exams which were normally distributed and take a random sample of students. They found that the scores of the 16 male students had a normal distribution with a mean of 72.4 and a standard deviation of 7.1. The scores of the 17 females students had a normal distribution with a mean of 77.4 and a standard deviation of 5.2. Using a significance level of 0.05, test the claim the tests have a gender bias.

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