Please assist with the problem below:

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

Using this information, please answerallof the following questions:

1.What is the appropriate hypothesis test for analyzing this data? Why is it appropriate?

2.Complete the hypothesis test and answer all of the following questionsto answer whether the average age of drivers receiving parking ticketsdiffers from the population of drivers in Smallville:

a.Whatare thenull and alternative hypotheses (H_oand H_a)?

b.What are the assumptions that need to be met forthe hypothesis test?

c.Whatis thetest statistic andthe p-value of the test?Note: You may use the normal calculator to calculate the p-value:z-Table - Normal Distribution Calculator.

d.What is your decision regarding whether or not to reject the null hypothesis? What does that mean in terms of the ages of the drivers?Note: To do this, please compare thestated with the p-value.

3.Given the conclusion found in #2d, 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?