1.A staff member at UF's Wellness Center is interested in seeing if a new stress reduction program will lower employees high systolic blood pressure levels. Twenty people are selected and have their blood pressure measured. Each person then participates in the stress reduction program. One month after the stress reduction program, the systolic blood pressure levels of the employees were measured again. Did the program reduce the average systolic blood pressure level? (mud = population mean difference = before after) Ha: mud > 0 Ha: mud does not equal 0 Ha: mud = 0 2.A teacher wants to see if a new unit on fractions is helping students learn. She has five randomly selected students take a pretest and a post test on the material. The scores are out of 20. Has there been improvement? (prepost) Student 1 2 3 4 5 Pre-test 15 14 15 19 14 Post- Test 19 13 12 20 18 Find the standard error. 5 1.38 3.08 3.A teacher wants to see if a new unit on fractions is helping students learn. She has five randomly selected students take a pretest and a post test on the material. The scores are out of 20. Has there been improvement? The test statistic is 0.15. What would be the pvalue? Student 1 2 3 4 5 Pre-test 15 14 15 19 14 Post- Test 19 13 12 20 18 pvalue greater than 0.20 pvalue greater than 0.10 pvalue less than 0.002 4.A teacher wants to see if a new unit on fractions is helping students learn. She has five randomly selected students take a pretest and a post test on the material. The scores are out of 20. Suppose that you are about to compute a confidence interval for d, how do you check for normality? You don't have to check for normality since the values are large enough. You don't have to check for normality for this type of data. Find the difference between the two scores for each subject. Make a plot of the differences and check for outliers. 5.A teacher wants to see if a new unit on factoring is helping students learn. She has five randomly selected students take a pretest and a post test on the material. The scores are out of 20. Has there been improvement? (prepost) What value of t would you use for the 90% confidence interval? Student 1 2 3 4 5 Pre-test 12 14 11 12 13 Post- Test 15 17 15 20 13 2.776 4.604 3.747 2.132 6.Do people improve their timing on an online crossword puzzle with an additional attempt? Twenty people were timed to complete a crossword puzzle online. After a twenty minute break, they were asked to complete the crossword puzzle online again. Was there an improvement in their time? (first - second) The pvalue was 0.12. Interpret. With a pvalue of 0.12, we have 1.______ statistically significant evidence that the 2.____________ time to complete the puzzle has improved. 7.A teacher wants to see if a new unit on taking square roots is helping students learn. She has five randomly selected students take a pretest and a post test on the material. The scores are out of 20. Has there been improvement? (prepost) Student 1 2 3 4 5 Pre-test 11 9 10 14 10 Post- Test 18 17 19 20 18 What is the point estimate of the population mean difference between the pre and post test? 7.6 0 Unknown 8.Suppose that you had consumer group wanted to test to see if weight of participants in a weight loss program changed (up or down). They computed a 95% confidence interval of the result (4.977, 2.177). What do we know about the pvalue for the test? It would be less than 0.05. It would be greater than 0.05. Can not be determined