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

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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: µ ≤ 10
H1: µ > 10
α = .05
z Test
Test Statistic, z: 4
Computation: z = %2812+-+10%29%2F%283%2Fsqrt%2836%29%29 = 4
Critical Value: 1.6449
P-Value: < 0.001
Reject the Null Hypothesis
Sample provides evidence to support the hypothesis that µ > 10.