The credit manager of a department store chain believes that the average age of charge-account customers is less than 33 years. A random sample of 120 charge-accountcustomers reveals a mean age of 29 and a standard deviation of 8 years.What type of test statistic is appropriate for this situation?000z-testx - testf-testt-test A researcher reports that the average income of system analysts in Makati is more than P44,000 per month. A sample of 30 system analystshas a mean salary of P45,800 and standard deviation of P5,400.Is there enough evidence to support the claim at a = 0.05?STEP 1:Claim: The average income of system analysts in Makati is [a] P44,000 per month.Ho: The average income of system analysts in Makati is [b] P44,000 per month.Ha: The average income of system analysts in Makati is [c] P44,000 per month.STEP 2:Type of test: [d]Critical value/s: [e]α = 0.05STEP 3:What is the computed test value? [f]STEP 4:Decision: [g]STEP 5:Conclusion: [h] (Choose the letter of your answer.)A. There is a significant difference between the sample mean and population mean. Thus, there is an enough evidence to support the claim.B. There is no significant difference between the sample mean and population mean. Thus, there is an enough evidence to support the claim.C. There is a significant difference between the sample mean and population mean. Thus, there is no enough evidence to support the claim.D. There is no significant difference between the sample mean and population mean. Thus, there is no enough evidence to support the claim.[b] choose your answer...[a] choose your answer...choose your answer...[f] choose your answer...V [c]choose your answer...[g] choose your answer...[d] choose your answer...[h] choose your answer...[e]

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Given two problems related to hypothesis testing. We have to solve the problems as indicated.