The National Weather Service says that mean daily high temperature for October in large mid-western city is 56 ?F. A local weather service desires to test the claim of 56 ?F because it believes it is lower. A sample of mean daily high temperatures for October over past 30 years yields µ= 54 ?F and ó = 5.6 ?F. Test the claim at the 0.01 significance level.
Answer: Fail to reject H0: m ? 56 ?F. There's not sufficient evidence to support claim that the mean is less than 56 ?F.
(a) Without performing traditional hypothesis test, determine the test statistic formula you will need to use? Justify your answer.
b) What is (are) the critical value(s)?
(c) Given the conclusion of the problem, what can you say about the P-value.
(d) Given the conclusion of the problem, what error type (Type I Error or Type II Error) could occur? Explain the scenario in which it would occur.