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A professor claims that the average score on a recent exam was 83.Suppose you want to test whether the professor's statement is correct.Assume that the test scores are normally distributed.You ask some people in class how they did,and record the following scores: 82,77,85,76,81,91,70,and 82.
-What are the null and alternative hypotheses?

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The null hypothesis (H0) is that the average score is 83, so H0: μ = 83. The alternative hypothesis (Ha) is that the average score is not 83, so Ha: μ ≠ 83. This is because we want to test if the professor's claim is correct or if the true average score is different from 83. Choice A is incorrect because it assumes that we only want to test if the true average score is greater than 83. Choice B is incorrect because it assumes that we only want to test if the true average score is less than 83. Choice D is incorrect because it assumes that we already know the true average score is greater than 83 and we want to determine if it is equal to or less than 83.

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