# Question: Suppose a student organization at the University of Illinois collected

Suppose a student organization at the University of Illinois collected data for a study involving class sizes from different departments. A random sample of 11 classes in the business department had an average size of 38.1 students with a sample standard deviation of 10.6 students. A random sample of 12 classes in the engineering department had an average size of 32.6 students with a sample standard deviation of 13.2 students.

a. Perform a hypothesis test using α = 0.05 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.

b. Approximate the p value using Table 5 in Appendix A and interpret the results.

c. Determine the precise p value using Excel.

d. Verify your results using PHStat.

e. What assumptions need to be made in order to perform this procedure?

a. Perform a hypothesis test using α = 0.05 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.

b. Approximate the p value using Table 5 in Appendix A and interpret the results.

c. Determine the precise p value using Excel.

d. Verify your results using PHStat.

e. What assumptions need to be made in order to perform this procedure?

**View Solution:**## Answer to relevant Questions

An online travel agent who specializes in cruises wanted to compare the cost of cruising to different destinations on various cruise lines. The following random sample data show the average cost of a seven day cruise in a ...The following two samples were collected as matched pairs: a. Construct a 95% confidence interval to estimate the difference in means between the populations from which Samples 1 and 2 were drawn. b. What conclusions can be ...Consider the following hypothesis statement using α = 0.10 and the following data from two independent samples: a. Calculate the appropriate test statistic and interpret the result. b. Calculate the p value and interpret ...Consider the following data from two independent samples. Construct a 95% confidence interval to estimate the difference in population means. McDonald’s would like to compare the wait times its drive through customers experience vs. the wait times its customers using the restaurants’ inside counters experience. The following data represent the wait times, in ...Post your question