Question

# A sample of 36 observations is selected from a normal population. The sample mean is 12,...

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 0.01 significance level.

H0: μ ≤ 10

H1: μ > 10

1. Is this a one- or two-tailed test?

• One-tailed test

• Two-tailed test

1. What is the decision rule?

• Reject H0 when z > 2.326

• Reject H0 when z ≤ 2.326

1. What is the value of the test statistic?

1. What is your decision regarding H0?

• Reject H0

• Fail to reject H0

1. e-1. What is the p-value?

1. e-2. Interpret the p-value?
 There is a % chance of finding a z value this large by “sampling error” when H0 is true.

Answer #1

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