he 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 NOTE: For ≠ enter /= STEP 2. This test is (e) left-tailed, (f) two-tailed or (g) right-tailed test. This test is:___ (enter e, f or g) STEP 3. The critical value (s) is Use the following chart to identify the critical value (s) Left-tailed Two-tailed Right tailed α =10% z = -1.28 (A) z=∓1.65 (B) z =1.28 (C) α =5% z = -1.65 (D) z=∓1.96 (E) z = -1.65 (F) α =1% z = -2.33 (G) z=∓2.58 (H) z = -2.33 (I) The critical value (s) is/are:___ (Enter a letter A through I) STEP 4. The test statistics is:____ (Enter a z-score rounded to two decimal places) The test statistics is z = [g] STEP 5. Make the decision. A: Reject the null hypothesis B: Do not reject the null hypothesis. The decision is:____ (Enter A or B)
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 NOTE: For ≠ enter /=
STEP 2. This test is (e) left-tailed, (f) two-tailed or (g) right-tailed test.
This test is:___ (enter e, f or g)
STEP 3. The critical value (s) is
Use the following chart to identify the critical value (s)
Left-tailed Two-tailed Right tailed
α =10% z = -1.28 (A) z=∓1.65 (B) z =1.28 (C)
α =5% z = -1.65 (D) z=∓1.96 (E) z = -1.65 (F)
α =1% z = -2.33 (G) z=∓2.58 (H) z = -2.33 (I)
The critical value (s) is/are:___ (Enter a letter A through I)
STEP 4. The test statistics is:____ (Enter a z-score rounded to two decimal places)
The test statistics is z = [g]
STEP 5. Make the decision.
A: Reject the null hypothesis
B: Do not reject the null hypothesis.
The decision is:____ (Enter A or B)
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