Homework 9 (Due date: April 16, 2003 which is Wednesday)
- Make sure to write your name and section number on each page.
- Staple everything together. Place it on the table with your section before class starts. There is a penalty of 5 pt. if you do not staple them together.
- Each question worth the same with the total 100 pt. for the homework.
- Exercise 9-6 (a) Carefully compute the test statistics, (i) find the P-value and make a decision, (ii) find the rejection region and make a decision. After this write the conclusion.
- Exercise 9-26. State your hypothesis and carefully compute the test statistics, (i) find the P-value and make a decision, (ii) find the rejection region and make a decision. After this write the conclusion and identify the type of error you may have made.
- Exercise 9-27 (assume equal population variances to answer the question)
- Exercise 9-33 (assume equal population variances to answer the question)
- Using the data for exercise 9.40 (your textbook), I computed the following descriptive statistics for the individual cases and for their difference.
Difference (P-B) / Pipe / Brush
Mean / -0.544375 / 1.711875 / 2.25625
Standard Error / 0.17850763 / 0.619164 / 0.727614
Median / -0.425 / 0.575 / 0.81
Standard Deviation / 0.71403052 / 2.476657 / 2.910454
Sample Variance / 0.509839583 / 6.13383 / 8.470745
Skewness / -3.342856959 / 1.802189 / 1.906975
Range / 3.16 / 7.89 / 9.41
Minimum / -3.09 / 0 / 0.32
Maximum / 0.07 / 7.89 / 9.73
Sum / -8.71 / 27.39 / 36.1
Count / 16 / 16 / 16
Answer the following questions using the given information in the textbook and above.
(a)Answer part (a) of the same exercise. Carefully compute the test statistics, (i) find the P-value and make a decision, (ii) find the rejection region and make a decision. After this write the conclusion.
(b)Test to see if the population variances for bush and pipe are the same. Carefully compute the test statistics, find the rejection region and make a decision. After this write the conclusion. Use the significance level of 0.1 to make a decision.
(c)Use your finding about the population variances in (b) and then assuming the data for bush and pipe are independent, test the hypothesis of their true means being the same versus different. Carefully compute the test statistics, (i) find the P-value and make a decision, (ii) find the rejection region and make a decision. After this write the conclusion.
- Exercise 9-47: When you are answering the question, carefully compute the test statistics, (i) find the P-value and make a decision, (ii) find the rejection region and make a decision. After this write the conclusion.
- Exercise 9-61 (use rejection region, not the P-value to make a decision)