An independent consumer testing lab preformed a statistical test on 25 type-C - 11173

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An independent consumer testing lab preformed a statistical test on 25 type-C alkaline batteries and calculated the mean life for a particular use before they failed was 22.5 hours. The distribution of the lives approximated a normal distribution. The standard deviation of the distribution was 1.1 hours. Information on the package states that the batteries should last 24 hours. 

The test question was if this difference between the test statistics and the stated life of the battery was significant? The .05 significant level was selected for the test. Which is the correct statement? 

A. The difference cannot be evaluated with this small of a sample.

B. The difference indicates that the batteries are not good.

C. The difference was not significant.

D. The difference was significant; the batteries do not meet the stated length of time.

 
Solution Description

An independent consumer testing lab preformed a statistical test on 25 type-C alkaline batteries and calculated the mean life for a particular use before they failed was 22.5 hours. The distribution of the lives approxima