1. A climatologist claims that the temperature in Seattle,Washington, was lower than in Birmingham, Alabama, in a recent year. The maximum daily temperatures (in degrees Fahrenheit) for 30 days in a recent year in Seattle are shown below. Assume the populationstandard deviation is 13.6\deg F.13 42 92 44 42 66 75 51 81 37 57 43 46 75 31a) Write the claim mathematically and identify the null and alternative hypothesis. Identify which is the claim.b) Find the critical value and identify the rejection region for this data. Alpha = 0.01c) Use the z-test to find the standardized test statistic z. Show the process as you would do it without using technology. Explain and show how you would find the test value.d) Decide whether to reject or fail to reject the null hypothesis based on the rejection region. Explain your answer.e) Explain why the p-value from your hypothesis test results gives you the same conclusion.f) Interpret the decision in the context of the original claim.