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In the comparison of two kinds of paint, a consumer testing service finds that four 1-gallon cans of one brand cover on the average 46 square feet with a standard deviation of 31 square feet, whereas four 1-gallon cans of another brand cover on the average 92 square feet with a standard deviation of 26 square feet. Assuming that the two populations sampled are normal and have equal variances, test the null hypothesis u1-42=0 against the alternative hypothesis µ1 - 42 > 0 at the 0.05 level of significance.

In the comparison of two kinds of paint, a consumer testing service finds that four 1-gallon cans of one brand cover on the average 46 square feet with a standard deviation of 31 square feet, whereas four 1-gallon cans of another brand cover on the average 92 square feet with a standard deviation of 26 square feet. Assuming that the two populations sampled are normal and have equal variances, test the null hypothesis u1-42=0 against the alternative hypothesis µ1 - 42 > 0 at the 0.05 level of significance.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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In the comparison of two kinds of paint, a consumer testing service finds that four 1-gallon cans of one brand cover on the average 46 square feet with a standard deviation of 31 square feet, whereas four 1-gallon cans of another brand cover on the average 92 square feet with a standard deviation of 26 square feet. Assuming that the two populations sampled are normal and have equal variances, test the null hypothesis u1-42=0 against the alternative hypothesis u1-42 > 0 at the 0.05 level of significance.
Transcribed Image Text:In the comparison of two kinds of paint, a consumer testing service finds that four 1-gallon cans of one brand cover on the average 46 square feet with a standard deviation of 31 square feet, whereas four 1-gallon cans of another brand cover on the average 92 square feet with a standard deviation of 26 square feet. Assuming that the two populations sampled are normal and have equal variances, test the null hypothesis u1-42=0 against the alternative hypothesis u1-42 > 0 at the 0.05 level of significance.
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