Exam 15: Nonparametric Statistics

Write the word or phrase that best completes each statement or answers the question. -A physician believes that a person's diastolic blood pressure can be lowered, if, instead of taking a drug, the person performs yoga exercises each evening. Ten subjects are randomly selected. Their blood pressures, measured in millimeters of mercury, are listed below. The 10 patients are instructed in several yoga exercises and told to perform them each evening for one month. At the end of the month, their blood pressures are taken again. The data are listed below. Use the Wilcoxon signed-ranks test to test the physician's hypothesis. Use $\alpha =$ $0.05$ . Patient 1 2 3 4 5 6 7 8 9 10 Before 93 92 81 90 87 80 83 85 88 84 After 90 86 81 82 81 69 86 75 84 68

Choose the one alternative that best completes the statement or answers the question. -The Mann-Whitney Test tests the equality of two population medians from_______

Write the word or phrase that best completes each statement or answers the question. -A researcher wishes to determine whether there is a difference in the average age of science, language, and art teachers. Teachers are randomly selected. Their ages are recorded below. Use the Kruskal -Wallis test to test the hypothesis that there is no difference in the distribution of the populations. Use $\alpha = 0.05$ . Science Language Art Teachers Teachers Teachers 26 39 42 31 44 48 30 41 39 55 50 64 40 45 48 28 34 38

Choose the one alternative that best completes the statement or answers the question. -The Wilcoxon Matched-Pairs Signed-Ranks Test is a test of A) the median of the differences of the matched pairs. B) the mean of the differences of the matched pairs. C) the mode of the differences of the matched pairs. D) ranks of the matched differences.

Choose the one alternative that best completes the statement or answers the question. -The decision to reject $\mathrm { H } _ { 0 }$ using the Kruskal-Wallis test occurs when________

Write the word or phrase that best completes each statement or answers the question. -The time (in minutes) it takes to assemble a component for 3 different television models is listed below. Workers are randomly selected. Use the Kruskal-Wallis test to test the hypothesis that there is no difference in the distribution of the populations. Use $\alpha = 0.05$ . Model 1 Model 2 Model 3 41 49 37 40 38 34 41 47 38 39 42 40 42 44 39 40 41 36 41 45 46

Choose the one alternative that best completes the statement or answers the question. -What is the test statistic, $\mathrm { k }$ , if we have a small sample size and the alternative hypothesis of a one-sample sign test is $\mathrm { H } _ { 1 } : \mathrm { M } < \mathrm { M } _ { 0 }$ ?

Choose the one alternative that best completes the statement or answers the question. -A one-sample sign test is a test of the________

Write the word or phrase that best completes each statement or answers the question. -The grade point averages of students participating in extracurricular activities at a college are to be compared. The data are listed below. Use the Kruskal-Wallis test to test the hypothesis that there is no difference in the distribution of the populations. Use $\alpha = 0.05$ . Sports Community Service Religion Club 3.6 2.2 3.1 3 2.5 3.4 2.9 3.7 3.2 3.9 2.3 2.9 3.5 2.7 2.9 2.5 2.4 2.8

Write the word or phrase that best completes each statement or answers the question. -A convenience store owner believes that the median number of newspapers sold per day is 46 . A random sample of 20 days yields the data below. Test the owner's hypothesis. Use $\alpha = 0.05$ . 29 45 56 61 28 52 67 24 30 35 44 51 51 41 41 46 46 56 51 35

Write the word or phrase that best completes each statement or answers the question. -A pharmaceutical company wishes to test a new drug with the expectation of weight reduction. Ten subjects are randomly selected and their weights are recorded. The subjects were placed on the drug for a period of 6 months, after which their weights were recorded again. The results are listed below. (All units are pounds.) Use the Wilcoxon signed-ranks test to test the company's hypothesis that the drug reduces weight. Use $\alpha = 0.05$ . Subject 1 2 3 4 5 6 7 8 9 10 Before 215 251 241 240 259 191 229 238 216 202 After 200 246 249 230 254 191 199 220 214 187

Provide an appropriate response. -Which of the below is a disadvantage of nonparametric statistical procedures

Write the word or phrase that best completes each statement or answers the question. -Four different watering schedules are used on bean plants. The number of beans on each randomly selected plant is given below. Use the Kruskal-Wallis test to test the hypothesis that there is no difference in the distribution of the populations. Use $\alpha = 0.05$ . Schedule 1 Schedule 2 Schedule 3 Schedule 4 10 9 10 7 9 12 7 9 10 9 8 7 11 9 7 8 11 9 6 9 10 10 7 8

Write the word or phrase that best completes each statement or answers the question. -The table below lists the amounts (in dollars) spent on clothing and entertainment over the last year by 10 adults selected at random. Test the claim of no correlation between spending in these two areas. Use $\alpha = 0.05$ . Clothing 295 380 385 290 370 Entertainment 380 450 475 410 460 Clothing 400 300 350 420 310 Entertainment 425 510 430 300 310