An anger-management course claims that, after completing its seminar, participants will lose their tempers less often. Always a skeptic, you decide to test this claim. A random sample of 12 seminar participants is chosen, and these participants are asked to record the number of times that they lost their tempers in the two weeks prior to the course. After the course is over, the same participants are asked to record the number of times that they lost their tempers in the next two weeks. The following table lists the results of the survey. Using these data, test the claim at the 0.01 level of significance assuming that the population distribution of the paired differences is approximately normal. Let participants before completing the anger-management course be Population 1 and let participants after completing the anger- management course be Population 2. Number of Times Temper Was Lost during a Two-Week Period 5 11 9 4 6 9 99 4 3 79 5 4 10 9 7 7 7 5 8 3 Before After 11 10

Quit smoking: A recent study reported that in a sample of 234 European-American HIV-positive smokers, 105 of them had used a nicotine patch to try to quit smoking, and in a sample of 81 Hispanic-American HIV-positive smokers, 25 had used a nicotine patch. Can you conclude that the proportion of patch users is greater among European-Americans? Let p₁ denote the proportion of European-Americans who used the patch. Use the a=0.01 level of significance. Part 1 of 4 (a) State the appropriate null and alternate hypotheses. Ho: P₁ (Choose one) ▼ P₂ H₁: P₁ (Choose one) P2 This is a (Choose one) test. Part 2 of 4 (b) Find the P-value. Round the answer to four decimal places. P-value= X S Ś

Use the random numbers. Thank you.

In a random sample of seven people, the mean driving distance to work was 22.5 miles and the standard deviation was 5.9 miles. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 95% confidence interval for the population mean u. Interpret the results. Identify the margin of error. (Round to one decimal place as needed.) Construct a 95% confidence interval for the population mean. (Round to one decimal place as needed.) Interpret the results. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) O A. With % confidence, it can be said that most driving distances to work (in miles) in the population are between the interval's endpoints. O B. It can be said that % of the population has a driving distance to work (in miles) that is between the interval's endpoints. OC. With % confidence, it can be said that the population mean driving distance to work…