Collaborative Statistics (MT230-Spring 2012) by Barbara Illowsky, Ph.D., Susan Dean - HTML preview

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Chapter 15. Solution Sheets

Solution Sheet: Hypothesis Testing for Single Mean and Single Proportion^*

This module provides a solution sheet for the Hypothesis Testing: Single Mean and Single Proportion chapter of the Collaborative Statistics textbook/collection.

Class Time:

Name:

a. H_o:

b. H_a:

c. In words, CLEARLY state what your random variable

or P' represents.

d. State the distribution to use for the test.

e. What is the test statistic?

f. What is the p-value? In 1 – 2 complete sentences, explain what the p-value means for this problem.

g. Use the previous information to sketch a picture of this situation. CLEARLY, label and scale the horizontal axis and shade the region(s) corresponding to the p-value.

Figure 15.1.

h. Indicate the correct decision (“reject” or “do not reject” the null hypothesis), the reason for it, and write an appropriate conclusion, using complete sentences.

i. Alpha:

ii. Decision:

iii. Reason for decision:

iv. Conclusion:

i. Construct a 95% Confidence Interval for the true mean or proportion. Include a sketch of the graph of the situation. Label the point estimate and the lower and upper bounds of the Confidence Interval.

Figure 15.2.

Solution Sheet: Hypothesis Testing for Two Means, Paired Data, and Two Proportions^*

This module provides a solution sheet for the Hypothesis Testing: Two Means, Paired Data, Two Proportions chapter of the Collaborative Statistics textbook/collection.

Class Time:

Name:

a. H_o: _______

b. H_a: _______

c. In words, clearly state what your random variable

, P₁'−P₂'- or

represents.

d. State the distribution to use for the test.

e. What is the test statistic?

f. What is the p-value? In 1 – 2 complete sentences, explain what the p-value means for this problem.

g. Use the previous information to sketch a picture of this situation. CLEARLY label and scale the horizontal axis and shade the region(s) corresponding to the p-value.

Figure 15.3.

h. Indicate the correct decision (“reject” or “do not reject” the null hypothesis), the reason for it, and write an appropriate conclusion, using complete sentences.

i. Alpha:

ii. Decision:

iii. Reason for decision:

iv. Conclusion:

i. In complete sentences, explain how you determined which distribution to use.

Solution Sheet: The Chi-Square Distribution^*

This module provides a solution sheet for the Chi-Square Distribution chapter of the Collaborative Statistics textbook/collection.

Class Time:

Name:

a. H_o: _______

b. H_a: _______

c. What are the degrees of freedom?

d. State the distribution to use for the test.

e. What is the test statistic?

f. What is the p-value? In 1 – 2 complete sentences, explain what the p-value means for this problem.

g. Use the previous information to sketch a picture of this situation. Clearly label and scale the horizontal axis and shade the region(s) corresponding to the p-value.

Figure 15.4.

h. Indicate the correct decision (“reject” or “do not reject” the null hypothesis) and write appropriate conclusions, using complete sentences.

i. Alpha:

ii. Decision:

iii. Reason for decision:

iv. Conclusion:

Solution Sheet: F Distribution and One-Way ANOVA^*

This module provides a solution sheet for use with the F Distribution and One-Way ANOVA chapter of the Collaborative Statistics textbook/collection.

Class Time:

Name:

a. H_o:

b. H_a:

= ______

= _______

d. State the distribution to use for the test.

e. What is the test statistic?

f. What is the p-value?

g. Use the previous information to sketch a picture of this situation. Clearly label and scale the horizontal axis and shade the region(s) corresponding to the p-value.

Figure 15.5.

h. Indicate the correct decision (“reject” or “do not reject” the null hypothesis) and write appropriate conclusions, using complete sentences.

i. Alpha:

ii. Decision:

iii. Reason for decision:

iv. Conclusion:

Solutions

Collaborative Statistics (MT230-Spring 2012) by Barbara Illowsky, Ph.D., Susan Dean - HTML preview

Chapter 15. Solution Sheets

Solution Sheet: Hypothesis Testing for Single Mean and Single Proportion*

Solution Sheet: Hypothesis Testing for Two Means, Paired Data, and Two Proportions*

Solution Sheet: The Chi-Square Distribution*

Solution Sheet: F Distribution and One-Way ANOVA*

Solution Sheet: Hypothesis Testing for Single Mean and Single Proportion^*

Solution Sheet: Hypothesis Testing for Two Means, Paired Data, and Two Proportions^*

Solution Sheet: The Chi-Square Distribution^*

Solution Sheet: F Distribution and One-Way ANOVA^*