SOLUTION: A sample of 36 observations is selected from a normal population. The sample mean is 12, and the population standard deviation is 3. Conduct the following test of hypothesis using

Question 829235: A sample of 36 observations is selected from a normal population. The sample mean is 12, and the population standard deviation is 3. Conduct the following test of hypothesis using the .05 significance level. Ho: mean is less than or equal to 10 and H1: mean is greater than 10
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Question:
A sample of 36 observations is selected from a normal population. The sample mean is 12, and the population standard deviation is 3. Conduct the following test of hypothesis using the .05 significance level. Ho: mean is less than or equal to 10 and H1: mean is greater than 10
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Answer:
H0: � ≤ 10
H1: � > 10
α = .05
z Test
Test Statistic, z: 4
Computation: z = = 4
Critical Value: 1.6449
P-Value: < 0.001
Reject the Null Hypothesis
Sample provides evidence to support the hypothesis that � > 10.

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