The National Weather Service says that the mean daily high temperature for October in a large Midwestern city is 56◦F. A local weather service suspects that this value is not accurate and wants to perform a hypothesis test to determine whether the mean is actually lower than 56◦F. A sample of mean daily high temperatures for October over the past 34 years yields x = 54◦F. Assume that the population standard deviation is 5.6◦F. Perform the hypothesis test at the 5% significance level.

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