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# ANOVA: Average duration of four brands of car batteries

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2- A consumer agency seeks to examine whether the average duration of four brands of car batteries that have similar prices, are equal. The agency randomly select a few batteries of each brand and tested. The following table gives the averages of car batteries in thousands of hours
BRAND A BRAND B BRAND C BRAND D
74 53 57 56
68 51 71 51
51 47 81 45
59 55 72 43
65 68

a. At the significance level of 5%, you can reject the null hypothesis that the average life of each of these batteries is the same. Show the steps of hypothesis testing

b. What would be the type 1 error in this case and what is the probability of making such mistakes?

https://brainmass.com/statistics/analysis-of-variance/anova-average-duration-four-brands-car-batteries-288556

#### Solution Preview

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2- A consumer agency seeks to examine whether the average duration of four brands of car batteries that have similar prices, are equal. The agency randomly select a few batteries of each brand and tested. The following table gives the averages of car batteries in thousands of hours
BRAND A BRAND B BRAND C BRAND D
74 53 57 56
68 51 71 51
51 47 81 45
59 55 72 43
65 68

a. At the significance level of 5%, you can reject the null ...

#### Solution Summary

This solution gives the step by step method for ANOVA. Iterative excel sheets are included.

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