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Chapter 6: Problem 9

A consumer magazine reported that of the 13,350 subscribers who owned brand A dishwasher, 2940 required a service call. Only 730 of the 1860 owners of brand B needed repairs. Which brand of dishwasher has the better repair record?

Short Answer

Expert verified
Answer: Provide the proportions for Brand A and Brand B, and indicate which brand has a lower proportion of service calls, meaning a better repair record.

Step by step solution

01

Compute the Proportion of Service Calls for Brand A

To find the proportion of service calls for Brand A, divide the number of service calls by the number of total owners. Let's represent this proportion as a percentage. Proportion_A = (Number of service calls for Brand A) / (Number of subscribers who own Brand A) So, Proportion_A = 2940 / 13350
02

Compute the Proportion of Service Calls for Brand B

Now we will do the same for Brand B. Divide the number of service calls for Brand B by the number of total owners to find the proportion, and represent it as a percentage. Proportion_B = (Number of service calls for Brand B) / (Number of subscribers who own Brand B) So, Proportion_B = 730 / 1860
03

Compare the Proportions to Determine the Better Repair Record

Now that we have the proportions, it's time to compare them and see which brand has the better (lower) proportion of service calls. If Proportion_A < Proportion_B, then Brand A has the better repair record. If Proportion_B < Proportion_A, then Brand B has the better repair record. In other words, the brand with the lower proportion has the better repair record. Let's calculate and compare the proportions.

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