Q. The manager of a paint supply store wants to determine whether the amount of paint contained in 4-litre cans purchased from a nationally respected manufacturer does actually average 4 litres. It is known from the manufacturer’s specifications that the standard deviation of the amount of paint is 0.15 litres. A random sample of 50 4-litre cans is selected, and the sample mean volume is 3.97 litres. Test at the 5% level of significance to see whether this result indicates the population mean of the amount of paint contained in 4-litre cans is less than 4 litres.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Q. The manager of a paint supply store wants to determine whether the amount of paint contained in 4-litre cans purchased from a nationally respected manufacturer does actually average 4 litres. It is known from the manufacturer’s specifications that the standard deviation of the amount of paint is 0.15 litres. A random sample of 50 4-litre cans is selected, and the sample mean volume is 3.97 litres.

 

Test at the 5% level of significance to see whether this result indicates the population mean of the amount of paint contained in 4-litre cans is less than 4 litres.

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