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v Suppose a student organization at a university collected data for a study involving class sizes from different departments. The following table shows the average class size from a random sample of classes in the business school vs, the average class size from a random sample of classe the engineering school. Data for the sample sizes and standard deviations are also shown. Use this data to complete pans a through c. Business Engineering Sample mean 38.4 303 Sample standard deviation 10.5 12.6 Sample size 19 13 a. Perform a hypothesis test using a= 0.01 to determine if the average class size differs between these departments. Assume the population variances for the number of students per class are not equal. Determine the null and alternative hypotheses for the test. 0 0 H01P1'P2 H13P1'P2 l