Answered: Rank Sums Exercise 12 uses Data Set 23…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

See similar textbooks

Related questions

Concept explainers

Question

Rank Sums Exercise 12 uses Data Set 23 “Old Faithful” in Appendix B, and the sample size is 250.

a. If we have sample paired data with 250 nonzero differences, what are the smallest and largest possible values of T?

b. If we have sample paired data with 250 nonzero differences, what is the expected value of T if the population consists of matched pairs with differences having a median of 0?

c. If we have sample paired data with 250 nonzero differences and the sum of the positive ranks is 1234, find the absolute value of the sum of the negative ranks.

d. If we have sample paired data with n nonzero differences and one of the two rank sums is k , find an expression for the other rank sum.

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

Expert Solution

Step by step

Solved in 4 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Types of Data and Their Measurement$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions