Consider the following hypothesis test: Ho: μ > 45 Ha: μ < 45 A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use α = 0.01. a. With = 44 and s=5.2, the p-value is between 0.005 and 0.01 Can it be concluded that the population mean is less than 45 ? No b. With = 43 and s = 4.6, the p-value is between 0.01 and 0.025 Can it be concluded that the population mean is less than 45? Yes c. With = 46 and s=5, the p-value is between 0.01 and 0.025 Can it be concluded that the population mean is less than 45? Yes

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Consider the following hypothesis test:
Ho: μ ≥ 45
Ha: μ < 45
A sample of 36 is used. Identify the p-value and state your conclusion for each of the following
sample results. Use a = 0.01,
a. With = 44 and s= 5.2, the p-value is between 0.005 and 0.01 ✓
Can it be concluded that the population mean is less than 45 ?
No
b. With = 43 and s=4.6, the p-value is between 0.01 and 0.025
Can it be concluded that the population mean is less than 45?
Yes
c. With = 46 and 8 = 5, the p-value is between 0.01 and 0.025
Can it be concluded that the population mean is less than 45?
Yes
Transcribed Image Text:Consider the following hypothesis test: Ho: μ ≥ 45 Ha: μ < 45 A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use a = 0.01, a. With = 44 and s= 5.2, the p-value is between 0.005 and 0.01 ✓ Can it be concluded that the population mean is less than 45 ? No b. With = 43 and s=4.6, the p-value is between 0.01 and 0.025 Can it be concluded that the population mean is less than 45? Yes c. With = 46 and 8 = 5, the p-value is between 0.01 and 0.025 Can it be concluded that the population mean is less than 45? Yes
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