The average age of the population of licensed drivers in a county is = 42.6, = 12, and the distribution is approximately normal.

The average age of the population of licensed drivers in a county is µ = 42.6, σ = 12, and the distribution is approximately normal. A county police officer was interested in whether the average age of drivers receiving parking tickets differed from the average age of the driving population. She obtained a sample of N = 25 drivers receiving parking tickets. The average age of these drivers was M = 40.5. Perform the appropriate hypothesis test to determine whether this group differs from the population of drivers in the county.

a. What are the hypotheses in formal statistical notation?

b. Draw the distribution/rejection region(s)/critical value(s).

c. Compute the test statistic and show where it falls on your distribution in part b.

d. Make decision & Communicate results.