Question

In: Statistics and Probability

A sample of 37 observations is selected from a normal population. The sample mean is 21,...

A sample of 37 observations is selected from a normal population. The sample mean is 21, and the population standard deviation is 3. Conduct the following test of hypothesis using the 0.02 significance level.

H₀: μ ≤ 20

H₁: μ > 20

Is this a one- or two-tailed test?

One-tailed test

Two-tailed test

What is the decision rule?

Reject H₀ when z > 2.054

Reject H₀ when z ≤ 2.054

What is the value of the test statistic? (Round your answer to 2 decimal places.)

What is your decision regarding H₀?

Fail to reject H₀

Reject H₀

e-1. What is the p-value? (Round your answer to 4 decimal places.)

e-2. Interpret the p-value? (Round your final answer to 2 decimal places.)

Expert Solution

One-tailed test

orchestra answered 2 years ago

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 1. What is the decision rule? (Round the final answer to 3 decimal places.) H1 when z> 2. What is the value of the test statistic? (Round the final answer to 2 decimal places.) 3. What...

A sample of 36 observations is selected from a normal population. The sample mean is 21,...

A sample of 36 observations is selected from a normal population. The sample mean is 21, and the population standard deviation is 5. Conduct the following test of hypothesis using the 0.05 significance level. H0: μ ≤ 20 H1: μ > 20 a). What is the decision rule? (Round your answer to 2 decimal places.) b). What is the value of the test statistic? (Round your answer to 2 decimal places.) c). What is the p-value? (Round your answer to...

A sample of 31 observations is selected from a normal population. The sample mean is 23,...

A sample of 31 observations is selected from a normal population. The sample mean is 23, and the population standard deviation is 2. Conduct the following test of hypothesis using the 0.10 significance level. H0: μ ≤ 22 H1: μ > 22 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 39 observations is selected from a normal population. The sample mean is 28,...

A sample of 39 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 .05 significance level. H0 : μ ≤ 26 H1 : μ > 26 (a) Is this a one- or two-tailed test? "Two-tailed"-the alternate hypothesis is different from direction. "One-tailed"-the alternate hypothesis is greater than direction. (b) What is the decision rule? (Round your answer to 2 decimal places.)...

A sample of 44 observations is selected from a normal population. The sample mean is 46,...

A sample of 44 observations is selected from a normal population. The sample mean is 46, and the population standard deviation is 7. Conduct the following test of hypothesis using the 0.01 significance level. H0: μ = 50 H1: μ ≠ 50 Is this a one- or two-tailed test? One-tailed test Two-tailed test What is the decision rule? Reject H0 if −2.576 < z < 2.576 Reject H0 if z < −2.576 or z > 2.576 What is the value...

A sample of 50 observations is selected from a normal population. The sample mean is 47,...

A sample of 50 observations is selected from a normal population. The sample mean is 47, and the population standard deviation is 7. Conduct the following test of hypothesis using the 0.10 significance level: H0: μ = 48 H1: μ ≠ 48 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 and accept H1 when z does not lie in the region from to. c. What is the value...

A sample of 33 observations is selected from a normal population. The sample mean is 53,...

A sample of 33 observations is selected from a normal population. The sample mean is 53, and the population standard deviation is 6. Conduct the following test of hypothesis using the 0.05 significance level. H0: μ = 57 H1: μ ≠ 57 What is the decision rule? Reject H0 if −1.960 < z < 1.960 Reject H0 if z < −1.960 or z > 1.960 What is the value of the test statistic? (Negative amount should be indicated by a...

A sample of 31 observations is selected from a normal population. The sample mean is 69,...

A sample of 31 observations is selected from a normal population. The sample mean is 69, and the population standard deviation is 8. Conduct the following test of hypothesis using the 0.01 significance level. H0: μ = 72 H1: μ ≠ 72 Is this a one- or two-tailed test? One-tailed test Two-tailed test What is the decision rule? Reject H0 if −2.576 < z < 2.576 Reject H0 if z < −2.576 or z > 2.576 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 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. What is the decision rule? (Round your answer to 2 decimal places.) What is the value of...

A sample of 71 observations is selected from a normal population. The sample mean is 24,...

A sample of 71 observations is selected from a normal population. The sample mean is 24, and the population standard deviation is 8. Conduct the following test of hypothesis using the 0.05 significance level. H0 : μ ≤ 23 H1 : μ > 23 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 and (Click to select) accept reject H1 when z > ....