A gallon of paint claims to cover 400 sq ft. This feels too high. 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 and computed a p-value of 0.212. What is the appropriate conclusion?

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Author:Amos Gilat
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A gallon of paint claims to cover 400 sq ft. This feels too high. 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 and computed a p-value of 0.212. What is the appropriate conclusion?
Transcribed Image Text:A gallon of paint claims to cover 400 sq ft. This feels too high. 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 and computed a p-value of 0.212. What is the appropriate conclusion?
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