Problem 10
Test the hypothesis that the randomly selected assessed values have changed between 2010 and 2014 . Use \(\alpha=0.05 .\) Do you think land values in a large city would be normally distributed? $$ \begin{array}{l|ccccccccccc} \text { Ward } & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } & \text { F } & \text { G } & \text { H } & \text { I } & \text { J } & \text { K } \\ \hline \mathbf{2 0 1 0} & 184 & 414 & 22 & 99 & 116 & 49 & 24 & 50 & 282 & 25 & 141 \\ \hline \mathbf{2 0 1 4} & 161 & 382 & 22 & 190 & 120 & 52 & 28 & 50 & 297 & 40 & 148 \end{array} $$
Problem 11
A group of compulsive gamblers was selected. The amounts (in dollars) they spent on lottery tickets for one week are shown. Then they were required to complete a workshop showing that the chances of winning were not in their favor. After they complete the workshop, test the claim that, at \(\alpha=0.05,\) the workshop was effective in reducing the weekly amount spent on lottery tickets. $$ \begin{array}{l|cccccccc} \text { Subject } & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } & \text { F } & \text { G } & \text { H } \\ \hline \text { Before } & 86 & 150 & 161 & 197 & 98 & 56 & 122 & 76 \\ \hline \text { After } & 72 & 143 & 123 & 186 & 102 & 53 & 125 & 72 \end{array} $$
Problem 11
Rank each set of data. $$ 22,56,54,12,73,38,44,56,22,50,62,88 $$
Problem 11
For Exercises 5 through \(20,\) perform these steps. a. State the hypotheses and identify the claim. b. Find the critical value(s). c. Compute the test value. d. Make the decision. e. Summarize the results. Use the traditional method of hypothesis testing unless otherwise specified. An educational researcher believes that the median number of faculty for proprietary (for-profit) colleges and universities is \(150 .\) The data provided list the number of faculty at a randomly selected number of proprietary colleges and universities. At the 0.05 level of significance, is there sufficient evidence to reject his claim? $$ \begin{array}{rrrrrrrrrr} 372 & 111 & 165 & 95 & 191 & 83 & 136 & 149 & 37 & 119 \\ 142 & 136 & 137 & 171 & 122 & 133 & 133 & 342 & 126 & 64 \\ 61 & 100 & 225 & 127 & 92 & 140 & 140 & 75 & 108 & 96 \\ 138 & 318 & 179 & 243 & 109 & & & & & \end{array} $$
Problem 11
Perform these steps. a. Find the Spearman rank correlation coefficient. b. State the hypotheses. c. Find the critical value. Use \(\alpha=0.05\). d. Make the decision. e. Summarize the results. Use the traditional method of hypothesis testing unless otherwise specified. Textbook Ranking After reviewing 7 potential textbooks, an instructor ranked them from 1 to 7 , with 7 being the highest ranking. The instructor selected one of his previous students and had the student rank the potential textbooks. The rankings are shown. At \(\alpha=0.05\), is there a relationship between the rankings? $$ \begin{array}{l|ccccccc} \text { Textbook } & \mathrm{A} & \mathrm{B} & \mathrm{C} & \mathrm{D} & \mathrm{E} & \mathrm{F} & \mathrm{G} \\ \hline \text { Instructor } & 1 & 4 & 6 & 7 & 5 & 2 & 3 \\ \hline \text { Student } & 2 & 6 & 7 & 5 & 4 & 3 & 1 \end{array} $$
Problem 11
Use the Kruskal-Wallis test and perform these steps. a. State the hypotheses and identify the claim. b. Find the critical value. c. Compute the test value. d. Make the decision. e. Summarize the results. Use the traditional method of hypothesis testing unless otherwise specified. Maximum Speeds of Animals A human is said to be able to reach a maximum speed of 27.89 miles per hour. The maximum speeds of various randomly selected types of other animals are listed below. Based on these particular groupings, is there evidence of a difference in speeds? Use the 0.05 level of significance. $$ \begin{array}{ccc} \begin{array}{c} \text { Predatory } \\ \text { mammals } \end{array} & \begin{array}{c} \text { Deerlike } \\ \text { animals } \end{array} & \begin{array}{c} \text { Domestic } \\ \text { animals } \end{array} \\ \hline 70 & 50 & 47.5 \\ 50 & 35 & 39.35 \\ 43 & 32 & 35 \\ 42 & 30 & 30 \\ 40 & 61 & 11 \end{array} $$
Problem 12
Perform these steps. a. Find the Spearman rank correlation coefficient. b. State the hypotheses. c. Find the critical value. Use \(\alpha=0.05\). d. Make the decision. e. Summarize the results. Use the traditional method of hypothesis testing unless otherwise specified. Motor Vehicle Thefts and Burglaries Is there a relationship between the number of motor vehicle (MV) thefts and the number of burglaries (per 100,000 population) for different randomly selected metropolitan areas? Use \(\alpha=0.05 .\) $$ \begin{array}{l|llllll} \text { MV theft } & 220.5 & 499.4 & 285.6 & 159.2 & 104.3 & 444 \\ \hline \text { Burglary } & 913.6 & 909.2 & 803.6 & 520.9 & 477.8 & 993.7 \end{array} $$
Problem 12
Use the Kruskal-Wallis test and perform these steps. a. State the hypotheses and identify the claim. b. Find the critical value. c. Compute the test value. d. Make the decision. e. Summarize the results. Use the traditional method of hypothesis testing unless otherwise specified. $$ \begin{array}{ccc} \text { Grocery store } & \text { Drugstore } & \text { Discount store } \\ \hline 6.79 & 7.69 & 7.49 \\ 6.09 & 8.19 & 6.89 \\ 5.49 & 6.19 & 7.69 \\ 7.99 & 5.15 & 7.29 \\ 6.10 & 6.14 & 4.95 \end{array} $$
Problem 12
Rank each set of data. $$ 88.3,46.0,83.4,321.0,58.6,16.0,148.3,32.7,62.8 $$
Problem 12
Students in Greek organizations at schools throughout the country sent volunteers to a yearly blood drive. The numbers from each randomly selected participating school are listed. Test the claim that there is no difference in the number of students participating from fraternities and sororities at \(\alpha=0.10\). $$\begin{array}{l|l}\text { Fraternities } & 4,5,10,7,7,15,12,11,13,15,12,12 \\\\\hline \text { Sororities } & 3,5,6,7,4,7,10,9,9,14\end{array}$$
