(c) It is claimed that the time required for engineering students to complete a midterm test is a normal random variable with an average of 35 minutes. In a survey, a random sample of twenty...

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Extracted text: (c) It is claimed that the time required for engineering students to complete a midterm test is a normal random variable with an average of 35 minutes. In a survey, a random sample of twenty engineering students have taken an average of 33.5 minutes to finish their midterm with a standard deviation of 4.5 minutes. At the 0.05 level of significance, test the hypothesis that the population average is 35 minutes against the alternative that population average less than 35 minutes.