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Introductory Statistics 2e

E | Solution Sheets

Introductory Statistics 2eE | Solution Sheets

Hypothesis Testing with One Sample

Class Time: __________________________
 Name: _____________________________________

  1. H0: _______
  2. Ha: _______
  3. In words, CLEARLY state what your random variable X ¯ X ¯ or P ′ P ′ represents.
  4. State the distribution to use for the test.
  5. What is the test statistic?
  6. What is the p-value? In one or two complete sentences, explain what the p-value means for this problem.
  7. 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
  8. Indicate the correct decision (“reject” or “do not reject” the null hypothesis), the reason for it, and write an appropriate conclusion, using complete sentences.
    1. Alpha: _______
    2. Decision: _______
    3. Reason for decision: _______
    4. Conclusion: _______
  9. 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 E2

Hypothesis Testing with Two Samples

Class Time: __________________________
 Name: _____________________________________

  1. H0: _______
  2. Ha: _______
  3. In words, clearly state what your random variable X ¯ 1 − X ¯ 2 X ¯ 1 − X ¯ 2 , P ′ 1 − P ′ 2 P ′ 1 − P ′ 2 or X ¯ d X ¯ d represents.
  4. State the distribution to use for the test.
  5. What is the test statistic?
  6. What is the p-value? In one to two complete sentences, explain what the p-value means for this problem.
  7. 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
  8. Indicate the correct decision (“reject” or “do not reject” the null hypothesis), the reason for it, and write an appropriate conclusion, using complete sentences.
    1. Alpha: _______
    2. Decision: _______
    3. Reason for decision: _______
    4. Conclusion: _______
  9. In complete sentences, explain how you determined which distribution to use.

The Chi-Square Distribution

Class Time: __________________________
 Name: ____________________________________

  1. H0: _______
  2. Ha: _______
  3. What are the degrees of freedom?
  4. State the distribution to use for the test.
  5. What is the test statistic?
  6. What is the p-value? In one to two complete sentences, explain what the p-value means for this problem.
  7. 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
  8. 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: _______

F Distribution and One-Way ANOVA

Class Time: __________________________
 Name: ____________________________________

  1. H0: _______
  2. Ha: _______
  3. df(n) = ______ df(d) = _______
  4. State the distribution to use for the test.
  5. What is the test statistic?
  6. What is the p-value?
  7. 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
  8. 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: _______
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