Solution Sheets
Hypothesis Testing with One Sample
Class Time: \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_* * *
Name: \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_
- H0: \_\_\_\_\_\_\_
- Ha: \_\_\_\_\_\_\_
- In words, CLEARLY state what your random variable
or
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. ![This is the frequency curve of a normal distribution with blank horizontal and vertical axes.](/statistics-book/resources/CNX_Stats_Appendix_ART_Figure_14.1.jpg)
- Indicate the correct decision (“reject” or “do not reject” the null hypothesis), the reason for it, and write an appropriate conclusion, using complete sentences.
- Alpha: \_\_\_\_\_\_\_
- Decision: \_\_\_\_\_\_\_
- Reason for decision: \_\_\_\_\_\_\_
- Conclusion: \_\_\_\_\_\_\_
- 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.
![This is the frequency curve of a normal distribution with blank horizontal and vertical axes.](/statistics-book/resources/CNX_Stats_Appendix_ART_Figure_14.2.jpg)
Hypothesis Testing with Two Samples
Class Time: \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_* * *
Name: \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_
- H0: \_\_\_\_\_\_\_
- Ha: \_\_\_\_\_\_\_
- In words, clearly state what your random variable
,
or
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. ![This is the frequency curve of a normal distribution with blank horizontal and vertical axes.](/statistics-book/resources/CNX_Stats_Appendix_ART_Figure_14.3.jpg)
- Indicate the correct decision (“reject” or “do not reject” the null hypothesis), the reason for it, and write an appropriate conclusion, using complete sentences.
- Alpha: \_\_\_\_\_\_\_
- Decision: \_\_\_\_\_\_\_
- Reason for decision: \_\_\_\_\_\_\_
- Conclusion: \_\_\_\_\_\_\_
- In complete sentences, explain how you determined which distribution to use.
The Chi-Square Distribution
Class Time: \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_* * *
Name: \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_
- H0: \_\_\_\_\_\_\_
- Ha: \_\_\_\_\_\_\_
- 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. ![This is a right-skewed frequency curve with blank horizontal and vertical axes.](/statistics-book/resources/CNX_Stats_Appendix_ART_Figure_14.4.jpg)
- Indicate the correct decision (“reject” or “do not reject” the null hypothesis) and write appropriate conclusions, using complete sentences.
- Alpha: \_\_\_\_\_\_\_
- Decision: \_\_\_\_\_\_\_
- Reason for decision: \_\_\_\_\_\_\_
- Conclusion: \_\_\_\_\_\_\_
F Distribution and One-Way ANOVA
Class Time: \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_* * *
Name: \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_
- H0: \_\_\_\_\_\_\_
- Ha: \_\_\_\_\_\_\_
- 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. ![This is an unlabeled number line.](/statistics-book/resources/CNX_Stats_Appendix_ART_Figure_14.5.jpg)
- Indicate the correct decision (“reject” or “do not reject” the null hypothesis) and write appropriate conclusions, using complete sentences.
- Alpha: \_\_\_\_\_\_\_
- Decision: \_\_\_\_\_\_\_
- Reason for decision: \_\_\_\_\_\_\_
- Conclusion: \_\_\_\_\_\_\_
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