# Solution Sheets

### Hypothesis Testing with One Sample

Class Time: __________________________

Name: _____________________________________

*H*: ________{0}*H*: ________{a}- 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. - 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.

### Hypothesis Testing with Two Samples

Class Time: __________________________

Name: _____________________________________

*H*: ________{0}*H*: ________{a}- 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. - 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: ____________________________________

*H*: ________{0}*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. - 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: ____________________________________

*H*: ________{0}*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. - 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: _______