Discuss the below:
A consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would like to do a statistical test regarding the mean monthly mileage,μ of cars rented in the U.S. this year. The consumer group has reason to believe that the mean monthly mileage of cars rented in the U.S. this year is less than last year's mean, which was 2850 miles.
The group plans to do a statistical test regarding the value of μ . It chooses a random sample of monthly mileages and computes the mean of the sample to be 2715 miles and the standard deviation to be 850 miles.
Based on this information, answer the questions below.
Answer the following:
-H0: mu = (less than, greater than or equal to, greater than, less than or equal to, not equal to, equal to) (2850, 850,2715)
-H1: mu= (less than, greater than or equal to, greater than, less than or equal to, not equal to, equal to) (2850, 850,2715)
In the context of this test, what Type II error?
-A Type I error is (rejecting, failing to reject) the hypothesis that mu is (less than, greater than or equal to, greater than, less than or equal to, not equal to, equal to) (2850, 850,2715) when, in fact, mu is (less than, greater than or equal to, greater than, less than or equal to, not equal to, equal to) (2850, 850,2715).
-Suppose that the group decides not to reject the null hypothesis. What sort of error might it be making? (Type I, Type II)