Did Clayton State Students gain weight, on average, during the COVID-19 quarantine? You wonder if the shelter-in-place orders in the Spring of 2020 led to people gaining weight. You take a random...

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Extracted text: Did Clayton State Students gain weight, on average, during the COVID-19 quarantine? You wonder if the shelter-in-place orders in the Spring of 2020 led to people gaining weight. You take a random sample of 43 Clayton State students, and find an average weight of 168.9 pounds, with a standard deviation of 13.8 pounds. Suppose the average weight of Clayton State students in February 2020 was known to be 163.7 pounds. a) Should you use a z-test or a t-test? b) Why did you choose that test? c) State the null and alternate hypotheses for this test. (use 'p' for proportions and 'mu' for means) Ho: На: A/ d) Calculate the test statistic. (give to 3 decimal places)