Question: Past experience indicates that the time for high school seniors to complete a standardized test is a normal random variable with a mean of 35

Past experience indicates that the time for high school seniors to complete a standardized test is a normal random variable with a mean of 35 minutes. If a random sample of 20 high school seniors took an average of 33.1 minutes to complete this test with a standard deviation of 4.3 minutes, test the hypothesis at the 0.05 level of significance that p = 35 minutes against the alternative that p < 35 minutes.

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