Sample size 20

1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4

Formulate hypotheses regarding population.

First, propose a hypothesis about the population mean for the quantitative topic ("I think the average GPA will be under 3.8")

Second, propose a hypothesis about the population variance ("I think the variance will be at least 1.5."). You will test both hypotheses using the data you collect.

For this sample, complete the following: a. Calculate the mean, standard deviation, and variance. b. Calculate the 95% Condence Interval for the population mean. c. Use your sample to test the hypothesis for the mean. Calculate the p-value for the test. Use a = 0.05 to nd your conclusion. (1. Use your sample to test the hypothesis for the variance you proposed. Calculate the p-value for the test. Use a = 0.05 to find your conclusion