The National Weather Service says that the mean daily high temperature for October in a large mid-western 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 37 years yields a sample mean of 54o F. Assume that the population standard deviation is 5.6° F. Perform the hypothesis test at the 1% significance level.
The National Weather Service says that the mean daily high temperature for October in a large mid-western 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 37 years yields a sample mean of 54o F. Assume that the population standard deviation is 5.6° F. Perform the hypothesis test at the 1% significance level.
STEP 1. H0: µ ________ ______ o H1: µ _______ _________ o
STEP 2. This test is (e) left-tailed, (f) two-tailed or (g) right-tailed test?
STEP 3. The critical value(s) and test statistic is
Use the following chart to identify the critical value (s)
Left-tailed Two-tailed Right tailed
α =10% z = -1.28 (A) z=∓1.65z=∓1.65 (B) z =1.28 (C)
α =5% z = -1.65 (D) z=∓1.96z=∓1.96 (E) z = -1.65 (F)
α =1% z = -2.33 (G) z=∓2.58z=∓2.58 (H) z = -2.33 (I)
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