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.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A sample of 39 observations is selected from a normal population. The sample mean is 43,...
A sample of 39 observations is selected from a normal population. The sample mean is 43, and the population standard deviation is 6. Conduct the following test of hypothesis using the 0.02 significance level. H0: μ = 45 H1: μ ≠ 45 Is this a one- or two-tailed test? One-tailed test Two-tailed test What is the decision rule? Reject H0 if −2.326 < z < 2.326 Reject H0 if z < −2.326 or z > 2.326 What is the value...
A sample of 35 observations is selected from a normal population. The sample mean is 26,...
A sample of 35 observations is selected from a normal population. The sample mean is 26, and the population standard deviation is 4. Conduct the following test of hypothesis using the 0.05 significance level. H0: μ ≤ 25 H1: μ > 25 a) Is this a one- or two-tailed test? "One-tailed"—the alternate hypothesis is greater than direction. "Two-tailed"—the alternate hypothesis is different from direction. b) What is the decision rule? (Round your answer to 3 decimal places.) c) What is...
A sample of 34 observations is selected from a normal population. The sample mean is 28,...
A sample of 34 observations is selected from a normal population. The sample mean is 28, and the population standard deviation is 4. Conduct the following test of hypothesis using the 0.05 significance level. H0: μ ≤ 26 H1: μ > 26 Is this a one- or two-tailed test? One-tailed test Two-tailed test What is the decision rule? Reject H0 when z > 1.645 Reject H0 when z ≤ 1.645 What is the value of the test statistic? (Round your...
A sample of 39 observations is selected from a normal population. The sample mean is 19,...
A sample of 39 observations is selected from a normal population. The sample mean is 19, and the population standard deviation is 4. Conduct the following test of hypothesis using the 0.10 significance level. H0: μ ≤ 18 H1: μ > 18 Is this a one- or two-tailed test? One-tailed test Two-tailed test What is the decision rule? Reject H0 when z > 1.282 Reject H0 when z ≤ 1.282 What is the value of the test statistic? (Round your...
A sample of 34 observations is selected from a normal population. The sample mean is 28,...
A sample of 34 observations is selected from a normal population. The sample mean is 28, and the population standard deviation is 4. Conduct the following test of hypothesis using the 0.05 significance level. H0: μ ≤ 26 H1: μ > 26 Is this a one- or two-tailed test? One-tailed test Two-tailed test What is the decision rule? Reject H0 when z > 1.645 Reject H0 when z ≤ 1.645 What is the value of the test statistic? (Round your...
A sample of 39 observations is selected from a normal population. The sample mean is 19,...
A sample of 39 observations is selected from a normal population. The sample mean is 19, and the population standard deviation is 4. Conduct the following test of hypothesis using the 0.10 significance level. H0: μ ≤ 18 H1: μ >18 a. Is this a one- or two-tailed test? Two-tailed test One-tailed test b. What is the decision rule? Reject H0 when z ≤ 1.282 Reject H0 when z > 1.282 c. What is the value of the test statistic?...
A sample of 73 observations is selected from a normal population. The sample mean is 43,...
A sample of 73 observations is selected from a normal population. The sample mean is 43, and the population standard deviation is 8. Conduct the following test of hypothesis using the 0.10 significance level: H0: μ = 44 H1: μ ≠ 44 a. Is this a one- or two-tailed test? (Click to select)  One-tailed test  Two-tailed test b. What is the decision rule? Reject H0 and accept H1 when z does not lie in the region from  to  . c. What is the value...
A sample of 60 observations is selected from a normal population. The sample mean is 37,...
A sample of 60 observations is selected from a normal population. The sample mean is 37, and the population standard deviation is 8. Conduct the following test of hypothesis using the 0.10 significance level. H0 : μ ≤ 36 H1 : μ > 36 a. Is this a one- or two-tailed test? One-tailed test or Two-tailed test b. What is the decision rule? (Round the final answer to 3 decimal places.) (Reject or Accept)  H0 and  (accept or reject  H1 when z >...
A sample of 83 observations is selected from a normal population. The sample mean is 28,...
A sample of 83 observations is selected from a normal population. The sample mean is 28, and the population standard deviation is 5. Conduct the following test of hypothesis using the 0.01 significance level: H0: μ ≤ 26 H1: μ > 26 a. Is this a one- or two-tailed test? (Click to select)  Two-tailed test  One-tailed test b. What is the decision rule? Reject H0 when z             (Click to select)  > 2.33  ≤ 2.33  . c. What is the value of the test statistic?...
A sample of 46 observations is selected from a normal population. The sample mean is 39,...
A sample of 46 observations is selected from a normal population. The sample mean is 39, and the population standard deviation is 9. Conduct the following test of hypothesis using the 0.10 significance level. H0 : μ ≤ 38 H1 : μ > 38 a. Is this a one- or two-tailed test? (Click to select) (One-tailed test / Two-tailed test) b. What is the decision rule? (Round the final answer to 3 decimal places.) (Click to select) (Reject / Accept)  H0...