A meteorologist claims that the average of the highest temperatures in the United States is 98. A

A meteorologist claims that the average of the highest temperatures in the United States is 98º. A random sample of 50 cities is selected, and the highest temperatures are recorded. The data are shown. At α = 0.05, can the claim be rejected? Assume σ = 7.71.

Perform each of the following steps.
a. State the hypotheses and identify the claim.
b. Find the critical value(s).
c. Compute the test value.
d. Make the decision.
e. Summarize the results.
Use the traditional method of hypothesis testing unless otherwise specified.

Transcribed Image Text:

96 101 98 87 95 105 94 95 91 91 80 88 94 96 101 97 94 94 95 98 97 98 99 92 97 99 108 97 98 114 102 96 100 96 80 91 102 93 99 102 88 95 98 61