Question

Suppose a university advertises that its average class size is 30 or less. A student organization is concerned that budget cuts have led to increased class sizes and would like to test this claim. A random sample of 42 classes was​ selected, and the average class size was found to be 33.1 students. Assume that the standard deviation for class size at the college is 8 students. Using alpha equals 0.10 ​, complete parts a and b below.

a. Does the student organization have enough evidence to refute the​ college's claim?

Determine the null and alternative hypotheses.

Upper H 0 ​: mu

▼

not equals

less than

equals

greater than or equals

greater than

less than or equals

nothing

Upper H 1​: mu

▼

greater than

greater than or equals

equals

less than or equals

not equals

less than

nothing

Answer 1

Let denotes the true average class size.

To test whether the student organization have enough evidence to refute the​ college's claim,.i.e.

to test null hypothesis against alternative hypothesis