The mean lasting time of 2 competing floor waxes is to be compared. Twenty floors are randomly assigned to test each wax. Wax#1 had a mean time of 3 months, while Wax#2's mean was 2.9 months.  The population standard deviations are 0.33 and 0.36, respectively.  Does the data indicate that Wax#1 lasts longer than Wax#2? Test at a 5% level of significance.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Perform the following hypothesis test using the critical value (traditional) method.  Be sure to state the null and alternative hypotheses, identify the critical value, calculate the test statistic, compare the test statistic to the critical value, and state the conclusion.   Use English if you cannot write the mathematical symbols.

 

The mean lasting time of 2 competing floor waxes is to be compared. Twenty floors are randomly assigned to test each wax. Wax#1 had a mean time of 3 months, while Wax#2's mean was 2.9 months.  The population standard deviations are 0.33 and 0.36, respectively.  Does the data indicate that Wax#1 lasts longer than Wax#2? Test at a 5% level of significance.

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