Answered: In the comparison of two kinds of paim…

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 average 20 square feet with a standard deviation of 3 square feet, whereas four 1-gallon cans of another brand cover on average 25 square feet with a standard deviation of 6 square feet. Assuming that the two populations sampled are normal and have equal variances, test the null hypothesis $ \mu_1 - \mu_2 = 0 $ against the alternative hypothesis $ \mu_1 - \mu_2 > 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 average 20 square feet with a standard deviation of 3 square feet, whereas four 1-gallon cans of another brand cover on average 25 square feet with a standard deviation of 6 square feet. Assuming that the two populations sampled are normal and have equal variances, test the null hypothesis $ \mu_1 - \mu_2 = 0 $ against the alternative hypothesis $ \mu_1 - \mu_2 > 0 $ at the 0.05 level of significance.

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