QUESTION: A company union claims that the mean number of hours all employees work per week is more than 45. From a sample of 32 employees, the mean number of hours worked per week was 48 and the standard deviation was 10.8 hours. Assume the population is normally distributed. At ???? = .01, is there enough evidence to support the union's claim?

QUESTION: The population of all verbal GRE scores are known to have a standard deviation of 8.5. The PSU Psychology department claims its applicants have an verbal GRE scores of 210. This year, the mean verbal GRE scores for the 42 applicants was 212.79. Using a value of α = 0.05 is there evidence that the mean verbal GRE score is not 210?