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Chapter 1: Q33BSC (page 1)

In Exercises 29–36, answer the given questions, which are related to percentages.

Percentages in Advertising: An ad for Big Skinny wallets included the statement that one of their wallets “reduces your filled wallet size by 50%–200%.” What is wrong with this statement?

Short Answer

Expert verified

For the given case, a 200% reduction is not meaningful.

Step by step solution

01

Given information

The ad given by Big Skinny wallets claims that the wallets would reduce in size by 50% to 200%.

02

Interpretation of the percentage value

A percentage is a value computed against a frequency; over a certain base value. It is measure equivalent of the portion taken from the base quantity.

03

Statement in terms of the study

The statement says that the wallet size reduces by a percentage amount of 50% to 200%.

Fifty percent implies that the wallet size reduces to half of the original. On the other hand, 200% implies the wallet size reduces more than the original.

A reduction in size that is more than the original is not possible.

Thus, the value of 200% is not valid.

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In Exercises 21–24, refer to the data in the table below. The entries are white blood cell counts (1000 cells,ML) and red blood cell counts (million cells,ML) from male subjects examined as part of a large health study conducted by the National Center for Health Statistics. The data are matched, so that the first subject has a white blood cell count of 8.7 and a red blood cell count of 4.91, and so on.

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