Chapter 13: Problem 7
For Exercises 7 through \(12,\) rank each set of data. $$ 25,68,36,63,36,74,39 $$
Short Answer
Step by step solution
Key Concepts
These are the key concepts you need to understand to accurately answer the question.
/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none}
Learning Materials
Features
Discover
Chapter 13: Problem 7
For Exercises 7 through \(12,\) rank each set of data. $$ 25,68,36,63,36,74,39 $$
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
What population parameter can be tested with the sign test?
List the advantages of nonparametric statistics.
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. $$ \begin{array}{l}{12,15,18,14,17,19,25,32,16,47,14,23,27,42,33,} \\\ {35,39,41,21,19(95 \%)}\end{array} $$
Explain what is meant by the efficiency of a nonparametric test.
For Exercises 5 through \(14,\) 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. Subway and Commuter Rail Passengers Six cities are randomly selected, and the number of daily passenger trips (in thousands) for subways and commuter rail service is obtained. At \(\alpha=0.05,\) is there a relationship between the variables? Suggest one reason why the transportation authority might use the results of this study. $$ \begin{array}{c|cccccc}{\text { City }} & {1} & {2} & {3} & {4} & {5} & {6} \\\ \hline \text { Subway } & {845} & {494} & {425} & {313} & {108} & {41} \\\ \hline \text { Rail } & {39} & {291} & {142} & {103} & {33} & {38}\end{array} $$
What do you think about this solution?
We value your feedback to improve our textbook solutions.