To help your restaurant marketing campaign target the right age levels, you want to find out if ther

To help your restaurant marketing campaign target the right age levels, you want to find out if there is a statistically significant difference, on the average, between the age of your customers and the age of the general population in town, 43.1 years.  A random sample of 50 customers shows an average of 38.1 years with a sample standard deviation of 16.2 years.(a) Identify the null and research hypotheses for a 2-sided test using both words and math symbols(b) Perform a 2-sided test at the 5% significance level and describe the result (use method of finding t (stat) and compare it to the appropriate t value from t-table(c) Perform a 2-sided test at the 1% significant level for this problem and describe the result (same method as part b)(d) Calculate a 95% confidence interval for the average age of all customers.  Verify that your answer to part b would be the same if it was based on this confidence interval(e) Calculate a 99% confidence interval for the average age of all customers.  Verify that your answer to part c would be the same if it was based on this confidence interval