Answered: 995 1000 943 1000 898 3169 3413 969 969…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Runs Test with Large Samples. In Exercises 9–12, use the runs test with a significance level of α = 0.05.(All data are listed in order by row.)

Stock Market: Testing for Randomness Above and Below the Median Listed below are the annual high values of the Dow Jones Industrial Average for a recent sequence of years. Find the median, then test for randomness below and above the median. What does the result suggest about the stock market as an investment consideration?

995
1000
943
1000
898
3169
3413
969
969
842
1052
882
951
892
1015
985
1036
1287
5216 6561
1024
1071
1287
2722
1553
1956
908
2184
3000
2791
3794
3978
8259
9374 11568 11401
11350 10635 10454 10855 10941 12464 14198 13279 10580 11625 12929 13589
16577 18054

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.

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