Answered: A consumer magazine wants to compare…

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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$### Comparing Lifetimes of Ballpoint Pens A consumer magazine wants to compare the lifetimes of ballpoint pens from three different brands. The lifetimes are measured in days. The magazine takes a random sample of pens of each type, as shown in the table below. #### Lifetime of Pens (in days) | Brand 1 | Brand 2 | Brand 3 | |---------|---------|---------| | 382 | 181 | 238 | | 242 | 140 | 257 | | 216 | 162 | 241 | | 319 | 218 | 213 | #### Statistical Test Options To determine the appropriate test statistic for comparing the pen lifetimes, consider the following options: a. $ F(2, 9) = 5.54 $ b. $ r = -0.34 $ c. $ t(11) = 12.16 $ d. $ p = 0.027 $ The aim is to identify the correct test statistic for analyzing the differences in the sample means of the three brands to see if there is a significant difference in the lifetimes of the pens.$

Transcribed Image Text:### Comparing Lifetimes of Ballpoint Pens A consumer magazine wants to compare the lifetimes of ballpoint pens from three different brands. The lifetimes are measured in days. The magazine takes a random sample of pens of each type, as shown in the table below. #### Lifetime of Pens (in days) | Brand 1 | Brand 2 | Brand 3 | |---------|---------|---------| | 382 | 181 | 238 | | 242 | 140 | 257 | | 216 | 162 | 241 | | 319 | 218 | 213 | #### Statistical Test Options To determine the appropriate test statistic for comparing the pen lifetimes, consider the following options: a. $ F(2, 9) = 5.54 $ b. $ r = -0.34 $ c. $ t(11) = 12.16 $ d. $ p = 0.027 $ The aim is to identify the correct test statistic for analyzing the differences in the sample means of the three brands to see if there is a significant difference in the lifetimes of the pens.

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