Contents

Solution Sheets

Appendix E Solution Sheets

Hypothesis Testing With One Sample

Class Time: __________________________
Name: _____________________________________

H₀: _______
H_a: _______
In words, clearly state what your random variable $\bar{X} \bar{X}$ or $P^{'} P^{'}$ represents.
State the distribution to use for the test.
What is the test statistic?
What is the p-value? In one or two complete sentences, explain what the p-value means for this problem.
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 E1
Indicate the correct decision (reject or do not reject the null hypothesis), the reason for it and write appropriate conclusions using complete sentences."
1. Alpha: _______
2. Decision: _______
3. Reason for decision: _______
4. Conclusion: _______
Construct a 95 percent confidence interval for the true mean or proportion. Sketch of the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval.

Figure E2

Class Time: __________________________
Name: _____________________________________

H₀: _______
H_a: _______
In words, clearly state what your random variable ${\bar{X}}_{1} - {\bar{X}}_{2} {\bar{X}}_{1} - {\bar{X}}_{2}$ , ${P^{'}}_{1} - {P^{'}}_{2} {P^{'}}_{1} - {P^{'}}_{2}$ or ${\bar{X}}_{d} {\bar{X}}_{d}$ represents.
State the distribution to use for the test.
What is the test statistic?
What is the p-value? In one to two complete sentences, explain what the p-value means for this problem.
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 E3
Indicate the correct decision (reject or do not reject the null hypothesis), and write appropriate conclusions using complete sentences.
1. Alpha: _______
2. Decision: _______
3. Reason for decision: _______
4. Conclusion: _______
In complete sentences, explain how you determined which distribution to use.

Class Time: __________________________
Name: ____________________________________

H₀: _______
H_a: _______
What are the degrees of freedom?
State the distribution to use for the test.
What is the test statistic?
What is the p-value? In one to two complete sentences, explain what the p-value means for this problem.
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 E4
Indicate the correct decision (reject or do not reject the null hypothesis) and write appropriate conclusions, using complete sentences.
1. Alpha: _______
2. Decision: _______
3. Reason for decision: _______
4. Conclusion: _______

Class Time: __________________________
Name: ____________________________________

H₀: _______
H_a: _______
df(n) = ______ df(d) = _______
State the distribution to use for the test.
What is the test statistic?
What is the p-value?
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 E5
Indicate the correct decision (reject or do not reject the null hypothesis) and write appropriate conclusions, using complete sentences.
1. Alpha: _______
2. Decision: _______
3. Reason for decision: _______
4. Conclusion: _______