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 54° F. Assume that the population standard deviation is 5.6° F. Perform the hypothesis test at the 1% significance level. STEP 1. Ho: H O H1:H 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 a =10% z = -1.28 (A) z = 71.65 (B) z =1.28 (C) a =5% z = -1.65 (D) z = 71.96 (E) z = -1.65 (F) a =1% z = -2.33 (G) z = 72.58 (H) z = -2.33 (1) The critical value (s) is/are (Enter a letter A through I)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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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 54° F. Assume that the population standard deviation is 5.6° F.
Perform the hypothesis test at the 1% significance level.
STEP 1. Ho: H
O H:H
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
a =10%
z = -1.28 (A)
z = 71.65 (B)
z =1.28 (C)
a =5%
z = -1.65 (D)
2=王1.96 (E)
z = -1.65 (F)
a =1%
z = -2.33 (G)
z=千2.58 (H)
z = -2.33 (1)
The critical value (s) is/are
(Enter a letter A through I)
Transcribed Image Text: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 54° F. Assume that the population standard deviation is 5.6° F. Perform the hypothesis test at the 1% significance level. STEP 1. Ho: H O H:H 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 a =10% z = -1.28 (A) z = 71.65 (B) z =1.28 (C) a =5% z = -1.65 (D) 2=王1.96 (E) z = -1.65 (F) a =1% z = -2.33 (G) z=千2.58 (H) z = -2.33 (1) The critical value (s) is/are (Enter a letter A through I)
STEP 3. The critical value (s) is
Use the following chart to identify the critical value (s)
Left-tailed
Two-tailed
Right tailed
a =10%
z = -1.28 (A)
z = 71.65 (B)
z =1.28 (C)
α-5%
z = -1.65 (D)
z = 71.96 (E)
Z = -1.65 (F)
a =1%
Z = -2.33 (G)
z = 72.58 (H)
z = -2.33 (1)
The critical value (s) is/are
(Entér 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)
Transcribed Image Text:STEP 3. The critical value (s) is Use the following chart to identify the critical value (s) Left-tailed Two-tailed Right tailed a =10% z = -1.28 (A) z = 71.65 (B) z =1.28 (C) α-5% z = -1.65 (D) z = 71.96 (E) Z = -1.65 (F) a =1% Z = -2.33 (G) z = 72.58 (H) z = -2.33 (1) The critical value (s) is/are (Entér 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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GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,