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	38.7	30.7
Sample standard deviation	10.6	12.7
Sample size	11	17

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Part 1

a. Perform a hypothesis test using

alphaequals=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 2H0:12

greater than or equals

less than or equals

equals=

greater than>

not equals

less than<

0

Upper H 1 : mu 1 minus mu 2H1:12

not equals

greater than or equals

less than<

equals=

greater than>

less than or equals

0