Use the following to answer the question(s) below.
Three brands of AAA batteries are compared to determine if differences in lifetime exist. Each brand is tested in four devices (TV remote, hand-held game, flashlight and digital camera). The experiment is run once for each combination of brand and device. The twelve runs are ordered randomly. The time (in minutes) that each battery lasts under continuous usage is recorded. The partial ANOVA results are as follows:
-The P-value associated with this F-statistic associated with the brands is 0.128. Based on this, we can conclude that
A) we should reject the null hypothesis.
B) there is a difference in the mean lifetimes among the different brands.
C) there is no significant difference in the mean lifetimes among the different devices.
D) we should support the alternative hypothesis.
E) there is no difference in the mean lifetimes among the different brands.

Question

Use the following to answer the question(s) below.
Three brands of AAA batteries are compared to determine if differences in lifetime exist. Each brand is tested in four devices (TV remote, hand-held game, flashlight and digital camera). The experiment is run once for each combination of brand and device. The twelve runs are ordered randomly. The time (in minutes) that each battery lasts under continuous usage is recorded. The partial ANOVA results are as follows: 
-The P-value associated with this F-statistic associated with the brands is 0.128. Based on this, we can conclude that
A) we should reject the null hypothesis. 
B) there is a difference in the mean lifetimes among the different brands. 
C) there is no significant difference in the mean lifetimes among the different devices. 
D) we should support the alternative hypothesis. 
E) there is no difference in the mean lifetimes among the different brands.

Quizplus · Accepted Answer

The given P-value of 0.128 is larger than the typical significance level of 0.05, indicating that we fail to reject the null hypothesis. Therefore, we do not have enough evidence to support the claim that there is a significant difference in the mean lifetimes among the different brands, and we can conclude that there is no difference in the mean lifetimes among the different brands.

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