.In a sample of 135 residents of Topeka, Kansas, the average hourly pay rate was $17.25, with a standard deviation of $4.34. Use this information to calculate a 99% confidence interval for the average hourly pay rate in Topeka, KS.

a. Is the sample size large enough to use formulas that are based on the Central Limit Theorem?

b. What is the sample statistic of interest? Provide notation and value.

c. How many degrees of freedom will the relevant t-distribution have?

d. Use a t-distribution with the appropriate degrees of freedom in StatKey to find the value of t* for a 99% confidence interval.

e. Calculate the standard error.

f. Calculate the 99% confidence interval for hourly pay rate in Topeka.

g. Interpret this confidence interval in the context of the question.