A study on caffeine asked volunteers to take a recall test 2 hours after drinking a carbonated drink. Some drank caffeine-free, some drank regular, and others drank a mixture of the two (getting a half-dose of caffeine). The 5-number summaries for each group's scores (number of items recalled correctly) on the memory test are shown below. Complete parts a through d. nMinQ1MedianQ3Max No Caffeine151718212426Low Caffeine151718202325 High Caffeine151216192023 a)Describe the W's for these data. b)Name the variables and classify each as categorical or quantitative. c)Create side-by-side boxplots to display these results as best you can with this information. d)Write a few sentences comparing the performances of the three groups.The participants scored about the same with____________The medians for these two groups were___________with slightly more variation in______________The___________________ generally scored lower than the other two groups on all measures of the 5-number summary.

Given n Min Q1 Median Q3 Max No Caffeine 15 17 18 21 24 26…

Answered: A study on caffeine asked volunteers to…

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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A study on caffeine asked volunteers to take a recall test 2 hours after drinking a carbonated drink. Some drank caffeine-free, some drank regular, and others drank a mixture of the two (getting a half-dose of caffeine). The 5-number summaries for each group's scores (number of items recalled correctly) on the memory test are shown below. Complete parts a through d.

	n	Min	Q1	Median	Q3	Max
No Caffeine	15	17	18	21	24	26
Low Caffeine	15	17	18	20	23	25
High Caffeine	15	12	16	19	20	23

a)	Describe the W's for these data.

b)	Name the variables and classify each as categorical or quantitative.

c)	Create side-by-side boxplots to display these results as best you can with this information.

d)	Write a few sentences comparing the performances of the three groups.

The participants scored about the same with____________The medians for these two groups were___________with slightly more variation in______________The___________________ generally scored lower than the other two groups on all measures of the 5-number summary.

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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