A standardized test for a specific college course is constructed so that the distribution of grades should have μ = 100 and σ = 10. A class of 30 students has a mean grade of 92. (a) Test the null...

A standardized test for a specific college course is constructed so that the distribution of grades should have μ = 100 and σ = 10. A class of 30 students has a mean grade of 92.

(a) Test the null hypothesis that the grades from this class are a random sample from the stated distribution. (Use α = 0:05.)

(b) What is the p value associated with this test?

(c) Discuss the practical uses of the results of this statistical test.