Question 829235
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 = {{{(12 - 10)/(3/sqrt(36))}}} = 4

Critical Value: 1.6449
P-Value: < 0.001

Reject the Null Hypothesis
Sample provides evidence to support the hypothesis that µ > 10.