Labels on 1-gallon cans of paint usually indicate the drying time and the area that can be covered in one coat. Most brands of paint indicate that, in one coat, a gallon will cover between 350 and 500 square feet, depending on the texture of the surface to be painted. One manufacturer, however, claims that a gallon of its paint will cover 450 square feet of surface area. To test this claim, a random sample of twenty 1-gallon cans of white paint were used to paint 20 identical areas using the same kind of equipment. The sample mean and sample standard deviation are: x=445.8 and s=47.5.Test using a = .05 a) If you were the manufacturer and wanted to make sure that your claim that a gallon of its paint will cover 450 square feet of surface area. what null hypothesis and alternate hypothesis would you test? H.:. H: b) What is the test statistic and critical value? c) What conclusion can you draw?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter1: Variables, Expressions, And Integers
Section1.5: Adding Integers
Problem 45E
Question
Please show EVERY STEP!!! DO NOT Skip a step. It makes it hard to know what step you skipped. Use Z-chart for number is over 30. Also, please show the bell curve graph!!!!
3) Labels on 1-gallon cans of paint usually indicate the drying time and the area that can be
covered in one coat. Most brands of paint indicate that, in one coat, a gallon will cover
between 350 and 500 square feet, depending on the texture of the surface to be painted.
One manufacturer, however, claims that a gallon of its paint will cover 450 square feet of
surface area. To test this claim, a random sample of twenty 1-gallon cans of white paint
were used to paint 20 identical areas using the same kind of equipment. The sample mean
and sample standard deviation are: x=445.8 and s=47.5.Test using a = .05
a) If you were the manufacturer and wanted to make sure that your claim that a gallon of
its paint will cover 450 square feet of surface area. what null hypothesis and alternate
hypothesis would you test?
H:.
H:.
b) What is the test statistic and critical value?
c) What conclusion can you draw?
Transcribed Image Text:3) Labels on 1-gallon cans of paint usually indicate the drying time and the area that can be covered in one coat. Most brands of paint indicate that, in one coat, a gallon will cover between 350 and 500 square feet, depending on the texture of the surface to be painted. One manufacturer, however, claims that a gallon of its paint will cover 450 square feet of surface area. To test this claim, a random sample of twenty 1-gallon cans of white paint were used to paint 20 identical areas using the same kind of equipment. The sample mean and sample standard deviation are: x=445.8 and s=47.5.Test using a = .05 a) If you were the manufacturer and wanted to make sure that your claim that a gallon of its paint will cover 450 square feet of surface area. what null hypothesis and alternate hypothesis would you test? H:. H:. b) What is the test statistic and critical value? c) What conclusion can you draw?
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