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QNT 561 Week 4 Weekly Learning Assessments - Assignment

Chapter 10 Exercise 2

[The following information applies to the questions displayed below.]

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. Award: 10 out of 10.00 points

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

b. What is the decision rule?

c. What is the value of the test statistic?

d. What is your decision regarding H0?

e. What is the p-value?

Chapter 10 Exercise 10

Given the following hypotheses:

H0 : μ = 400

H1 : μ ≠ 400

A random ...view middle of the document...

Round your answer to 3 decimal places.)

c. What is your decision regarding H0?

Chapter 10 Exercise 16

Given the following hypotheses:

H0 : μ = 100

H1 : μ ≠ 100

A random sample of six resulted in the following values: 118, 105, 112, 119, 105, and 111. Assume a normal population.

a. Using the .05 significance level, determine the decision rule? (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)

b. Compute the value of the test statistic. (Round your answer to 2 decimal places.)

c-1. What is your decision regarding the H0?

c-2. Can we conclude the mean is different from 100?

d. Estimate the p-value.

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Chapter 11 Exercise 2

A sample of 65 observations is selected from one population with a population standard deviation of 0.75. The sample mean is 2.67. A sample of 50 observations is selected from a second population with a population standard deviation of 0.66. The sample mean is 2.59. Conduct the following test of hypothesis using the .08 significance level.

H0 : μ1 ≤ μ2

H1 : μ1 > μ2

a. This a -tailed test.

b. State the decision rule. (Negative values should be indicated by a minus sign. Round your answer to 2 decimal places.)

c. Compute the value of the test statistic. (Round your answer to 2 decimal places.)

d. What is your decision regarding H0?

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

Chapter 11 Exercise 8

The null and alternate hypotheses are:

A random sample of 15 observations from the first population revealed a sample mean of 350 and a sample standard deviation of 12. A random sample of 17 observations from the second population revealed a sample mean of 342 and a sample standard deviation of 15.

At the .10 significance level, is there a difference in the population means?

a. This is a -tailed test.

b. The decision rule is to reject if (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)

c. The test statistic is (Round your answer to 3 decimal places.)

d. What is your decision regarding?

e. The p-value is between and.

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Chapter 11 Exercise 14

The null and alternate hypotheses are:

H0: μ1 ≤ μ2

H1: μ1 > μ2

A random sample of 20 items from the first population showed a mean of 100 and a standard deviation of 15. A sample of 16 items for the second population showed a mean of 94 and a standard deviation of 8. Use the .05 significant level.

a. Find the degrees of freedom for unequal variance test. (Round down your answer to the nearest whole number.)

b. State the decision rule for .05 significance level. (Round your answer to 3 decimal places.)

c. Compute the value of the test statistic. (Round your answer to 3 decimal places.)

d. What is your decision regarding the null hypothesis? Use the .05 significance level.

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