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A gallon of paint claims to cover 400 sq ft. To test this, a research lab obtained 30 random gallons of paint and recruited 30 volunteers to each paint as much wall space as they could with a gallon, and the lab techs measured the area covered. They computed a mean of 396 sq ft with a standard deviation of 27 sq ft. They performed a test of hypothesis to determine of the true coverage is less than claimed. They computed a p-value of 0.212. Using an alpha of 0.05, which of the following is the most appropriate conclusion? For the instructor, this was question 15. X Since the p-value is not small, we have insufficient evidence to conclude that the true proportion of coverage is less than 400 sq ft. X Since the p-value is not small, we have sufficient evidence to conclude that the true mean amount of coverage is less than 400 sq ft. X Since the p-value is not small, we have sufficient evidence to conclude that the true mean amount of coverage is 400 sq ft. / Since the p-value is not small, we have insufficient evidence to conclude that the true mean amount of coverage is less than 400 sq t. X Since the p-value is small, we have sufficient evidence to conclude that the true proportion of coverage is less than 400 sq ft.

A gallon of paint claims to cover 400 sq ft. To test this, a research lab obtained 30 random gallons of paint and recruited 30 volunteers to each paint as much wall space as they could with a gallon, and the lab techs measured the area covered. They computed a mean of 396 sq ft with a standard deviation of 27 sq ft. They performed a test of hypothesis to determine of the true coverage is less than claimed. They computed a p-value of 0.212. Using an alpha of 0.05, which of the following is the most appropriate conclusion? For the instructor, this was question 15. X Since the p-value is not small, we have insufficient evidence to conclude that the true proportion of coverage is less than 400 sq ft. X Since the p-value is not small, we have sufficient evidence to conclude that the true mean amount of coverage is less than 400 sq ft. X Since the p-value is not small, we have sufficient evidence to conclude that the true mean amount of coverage is 400 sq ft. / Since the p-value is not small, we have insufficient evidence to conclude that the true mean amount of coverage is less than 400 sq t. X Since the p-value is small, we have sufficient evidence to conclude that the true proportion of coverage is less than 400 sq ft.

MATLAB: An Introduction with Applications
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 gallon of paint claims to cover 400 sq ft. To test this, a research lab obtained 30 random gallons of paint and recruited 30 volunteers to each paint as much wall space as they could with a gallon, and the lab techs measured the area covered. They computed a mean of 396 sq ft with a standard deviation of 27 sq ft. They performed a test of hypothesis to determine of the true coverage is less than claimed. They computed a p-value of 0.212. Using an alpha of 0.05, which of the following is the most appropriate conclusion? For the instructor, this was question 15. X Since the p-value is not small, we have insufficient evidence to conclude that the true proportion of coverage is less than 400 sq ft. X Since the p-value is not small, we have sufficient evidence to conclude that the true mean amount of coverage is less than 400 sq ft. X Since the p-value is not small, we have sufficient evidence to conclude that the true mean amount of coverage is 400 sq ft. / Since the p-value is not small, we have insufficient evidence to conclude that the true mean amount of coverage is less than 400 sq ft. X Since the p-value is small, we have sufficient evidence to conclude that the true proportion of coverage is less than 400 sq ft. O O O O O
Transcribed Image Text:A gallon of paint claims to cover 400 sq ft. To test this, a research lab obtained 30 random gallons of paint and recruited 30 volunteers to each paint as much wall space as they could with a gallon, and the lab techs measured the area covered. They computed a mean of 396 sq ft with a standard deviation of 27 sq ft. They performed a test of hypothesis to determine of the true coverage is less than claimed. They computed a p-value of 0.212. Using an alpha of 0.05, which of the following is the most appropriate conclusion? For the instructor, this was question 15. X Since the p-value is not small, we have insufficient evidence to conclude that the true proportion of coverage is less than 400 sq ft. X Since the p-value is not small, we have sufficient evidence to conclude that the true mean amount of coverage is less than 400 sq ft. X Since the p-value is not small, we have sufficient evidence to conclude that the true mean amount of coverage is 400 sq ft. / Since the p-value is not small, we have insufficient evidence to conclude that the true mean amount of coverage is less than 400 sq ft. X Since the p-value is small, we have sufficient evidence to conclude that the true proportion of coverage is less than 400 sq ft. O O O O O
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