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 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

2. What is the decision rule?

• Reject H₀ when z > 2.326

• Reject H₀ when z ≤ 2.326

3. What is the value of the test statistic?

4. 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