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.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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