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
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
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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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VIEWStep 2: Compute p-value for sample mean = 44 and s=5.2 and conclude for the test:
VIEWStep 3: Compute p-value for sample mean = 43 and s=4.6 and conclude for the test:
VIEWStep 4: Compute p-value for sample mean = 46 and s=5 and conclude for the test:
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