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16. Paint Durability. A paint manufacturer in Pittsburgh claims that his paint will last an average of 5 years. Assuming that paint life is normally distributed and has a standard deviation of 0.5 year, answer the following questions: a. Suppose that you paint one house with the paint and that the paint lasts 4.5 years. Would you consider that evidence against the man- ufacturer's claim? (Hint: Assuming that the manufacturer's claim is correct, determine the probability that the paint life for a ran- domly selected house painted with the paint is 4.5 years or less.) b. Suppose that you paint 10 houses with the paint and that the paint lasts an average of 4.5 years for the 10 houses. Would you consider that evidence against the manufacturer's claim? c. Repeat part (b) if the paint lasts an average of 4.9 years for the 10 houses painted.

16. Paint Durability. A paint manufacturer in Pittsburgh claims that his paint will last an average of 5 years. Assuming that paint life is normally distributed and has a standard deviation of 0.5 year, answer the following questions: a. Suppose that you paint one house with the paint and that the paint lasts 4.5 years. Would you consider that evidence against the man- ufacturer's claim? (Hint: Assuming that the manufacturer's claim is correct, determine the probability that the paint life for a ran- domly selected house painted with the paint is 4.5 years or less.) b. Suppose that you paint 10 houses with the paint and that the paint lasts an average of 4.5 years for the 10 houses. Would you consider that evidence against the manufacturer's claim? c. Repeat part (b) if the paint lasts an average of 4.9 years for the 10 houses painted.

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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16. Paint Durability. A paint manufacturer in Pittsburgh claims that his paint will last an average of 5 years. Assuming that paint life is normally distributed and has a standard deviation of 0.5 year, answer the following questions: a. Suppose that you paint one house with the paint and that the paint lasts 4.5 years. Would you consider that evidence against the man- ufacturer's claim? (Hint: Assuming that the manufacturer's claim is correct, determine the probability that the paint life for a ran- domly selected house painted with the paint is 4.5 years or less.) b. Suppose that you paint 10 houses with the paint and that the paint lasts an average of 4.5 years for the 10 houses. Would you consider that evidence against the manufacturer's claim? c. Repeat part (b) if the paint lasts an average of 4.9 years for the 10 houses painted.
Transcribed Image Text:16. Paint Durability. A paint manufacturer in Pittsburgh claims that his paint will last an average of 5 years. Assuming that paint life is normally distributed and has a standard deviation of 0.5 year, answer the following questions: a. Suppose that you paint one house with the paint and that the paint lasts 4.5 years. Would you consider that evidence against the man- ufacturer's claim? (Hint: Assuming that the manufacturer's claim is correct, determine the probability that the paint life for a ran- domly selected house painted with the paint is 4.5 years or less.) b. Suppose that you paint 10 houses with the paint and that the paint lasts an average of 4.5 years for the 10 houses. Would you consider that evidence against the manufacturer's claim? c. Repeat part (b) if the paint lasts an average of 4.9 years for the 10 houses painted.
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