The average age for licensed drivers in a county is = 42.6, = 12 and the distribution is approximately normal. A county police officer was interested in whether the average age of those receiving parking tickets in the county differed from that of the average age of the population of licensed drivers inthe county. Sheobtained a random sample ofN =25 drivers in the county, who received parking tickets. The average age for these driverswasM=40.5. Test using a 5% (=.05) significance level.

1.Identify the appropriate hypothesis test for analyzing this data.

2.Complete the followingstepsof hypothesis testing to determine whether this group differs from the population of drivers in the county(Note: Please be sure toinclude each step in your final study group answer).

• I. State the null and alternative hypotheses (H_oand H_a).
• II. Check that assumptions for the hypothesis test are met.
• III. Calculate the test statistic and use it to determine the p-value of the test.You may use the normal calculator to calculate the p-value:z-Table - Normal Distribution Calculator).
• IV. Compare the preconceived with the p-value, make a decision (reject or do not reject H0), and explain a clear conclusion using English sentences.

3.Given the conclusion found in #2, which type of error (Type I or Type II) is a possibility? Why?

4.Given the possible type of error (Type I or Type II) made in this situation, what could researchers do to reduce the risk of this error?