Question

A manager of a home improvement chain is interested in switching the current brand of paint they sell to a house brand paint. The manager would like to test the claim that the consistency rating (which measures color tone from 1 to 100 points) for a particular color is higher for the house brand paint. The manager collected a random sample of 8 paint colors and measured each brand of paint for the consistency rating. The results (in rated points) are shown in the following table. Note: d = (current brand of paint - house brand of paint) Current paint consistency ratings House brand paint consistency ratings 60 72 65 70 66 73 62 69 63 66 64 67 70 66 72 72 Assume that both of the populations are normally distributed. At the 0.10 level of significance, is there sufficient evidence to show that the mean consistency rating for a paint color increases for the house brand of paint? Find the approximate range for the p-value knowing the test statistic is -2.41. Use the table below to find your answer.

Answer 1

Ans : The correct ans is

The p value falls between 0.01 and 0.025

ans since p value is less than 0.10, we can reject the null hypothesis and conclude that there is sufficient evidence to show that mean consistency rating for a paint color increases for the house brand of paint