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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.

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.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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? 6 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.
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? 6 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.
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