Question

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 classes in the engineering school. Data for the sample sizes and standard deviations are also shown. Use this data to complete parts a through c.

	Business	Engineering
Sample mean	39.9	30.9
Sample standard deviation	10.7	12.8
Sample size	20	18

a. Perform a hypothesis test using alpha α equals=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.

Determine the null and alternative hypotheses for the test.

Upper H 0 : mu 1 minus mu 2H0: μ1−μ2 =0

Upper H 1 : mu 1 minus mu 2H1: μ1−μ2 ≠0

Calculate the appropriate test statistic and interpret the result.

The test statistic is 2.34

​(Round to two decimal places as​ needed.)

The critical​ value(s) is(are)

nothing.

​(Round to two decimal places as needed. Use a comma to separate answers as​ needed.)

Answer 1

Given :

For bissness

s1 = 10.7

n1 = 20

1 = 39.9

For engineering

s2 = 12.8

n2 = 18

2 = 30.9