The average movie admission price for a recent year was $7.18. The population variance was $3.81. A random sample of 15 theater admission prices had a mean of $8.02 with a standard deviation of 2.08. At a=0.01 is there sufficient evidence to conclude a difference from the population variance? Assume the variable is normally distributed.
a. State the hypotheses and identify the claim
b. Find the critical value(s)
c. Compute the test value
d. Make the decision
e. Summarize the results