Question: Past experience indicates that the time required for high school seniors to complete a standardized test is a normal random variable with a standard deviation

Past experience indicates that the time required for high school seniors to complete a standardized test is a normal random variable with a standard deviation of 6 minutes. Test the hypothesis that σ = 6 against the alternative that σ < 6 if a random sample of the test times of 20 high school seniors has a standard deviation s = 4.51. Use a 0.05 level of significance.

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