Learning Materials
Features
Discover
Chapter 13: Problem 8
For Exercises 7 through \(12,\) rank each set of data. $$ 88,465,587,182,243 $$
Over 30 million students worldwide already upgrade their learning with 91影视!
These are the key concepts you need to understand to accurately answer the question.
All the tools & learning materials you need for study success - in one app.
Get started for free
The confidence interval for the median of a set of values less than or equal to 25 in number can be found by ordering the data from smallest to largest, finding the median, and using Table J. For example, to find the \(95 \%\) confidence interval of the true median for \(17,19,3,8,10,15,1,23,2,12,\) order the data: $$ 1,2,3,8,10,12,15,17,19,23 $$ From Table \(\mathrm{J}\), select \(n=10\) and \(\alpha=0.05,\) and find the critical value. Use the two-tailed row. In this case, the critical value is \(1 .\) Add 1 to this value to get \(2 .\) In the ordered list, count from the left two numbers and from the right two numbers, and use these numbers to get the confidence interval, as shown: $$ \begin{array}{l}{1,2,3,8,10,12,15,17,19,23} \\ {2 \leq \mathrm{MD} \leq 19}\end{array} $$ Always add 1 to the number obtained from the table before counting. For example, if the critical value is \(3,\) then count 4 values from the left and right. For Exercises 21 through 25 , find the confidence interval of the median, indicated in parentheses, for each set of data. $$ \begin{array}{l}{12,15,18,14,17,19,25,32,16,47,14,23,27,42,33,} \\\ {35,39,41,21,19(95 \%)}\end{array} $$
What is meant by nonparametric statistics?
In the sign test, what is used as the test value when \(n \leq 25 ?\)
For Exercises 3 through \(12,\) use the Wilcoxon rank sum test. Assume that the samples are independent. Also perform each of 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. Hunting Accidents A game commissioner wishes to see if the number of hunting accidents in counties in western Pennsylvania is different from the number of hunting accidents in counties in eastern Pennsylvania. Random samples of counties from the two regions are selected, and the numbers of hunting accidents are shown. At \(\alpha=0.05,\) is there a difference in the number of accidents in the two areas? If so, give a possible reason for the difference. $$ \begin{array}{l|lllllllll}{\text { Western Pa. }} & {10} & {21} & {11} & {11} & {9} & {17} & {13} & {8} & {15} & {17} \\ \hline \text { Eastern Pa. } & {14} & {3} & {7} & {13} & {11} & {2} & {8} & {5} & {5} & {6}\end{array} $$
For Exercises \(9-14,\) use the Wilcoxon signed-rank test to test each hypothesis. Bowling Scores Eight randomly selected volunteers at a bowling alley were asked to bowl three games and pick their best score. They were then given a bowling ball made of a new composite material and were allowed to practice with the ball as much as they wanted. The next day they each bowled three games with the new ball and picked their best score. At the 0.05 level of significance, did scores improve? $$ \begin{array}{l|ccccccc}{\text { Bowler }} & {\mathrm{A}} & {\mathrm{B}} & {\mathrm{C}} & {\mathrm{D}} & {\mathrm{E}} & {\mathrm{F}} & {\mathrm{G}} & {\mathrm{H}} \\ \hline \text { Day 1} & {141} & {176} & {178} & {174} & {135} & {190} & {182} & {141} \\ \hline \text { Day 2} & {158} & {144} & {135} & {153} & {195} & {151} & {151} & {183}\end{array} $$
What do you think about this solution?
We value your feedback to improve our textbook solutions.
Explanations 
Textbooks 
Flashcards 
91影视 AI 
Notes 
Study Plans 
Study Sets 
Find a degree 
Magazine