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Chapter 4: Q. 32 (page 239)

Weight? Wait what? Marcos asked a random sample of 50mall shoppers for their weight. Twenty-five of the shoppers were asked directly and the other 25 were asked anonymously by means of a 鈥渟ecret ballot.鈥� The mean reported weight was13 pounds heavier for the anonymous group. Explain why the two means are so different.

Short Answer

Expert verified

This is because, for personal reasons, people do not want to confess their true weight when they are questioned directly. They don't want other people to know how much they weight.

Step by step solution

01

Given Information

We have to explain why the two means are so different.

02

Simplification

Marcos inquired about the weight of a random sample of 50mall patrons. Two of the groups were split in half. The first half of the group was asked directly about their weight, while the other half was asked anonymously through "secret ballot." As a result, the anonymous group's mean was greater than the group that was personally questioned. This is because, for personal reasons, people do not want to confess their true weight when they are questioned directly. They don't want other people to know how much they weight.

As a result, when they were asked directly, the survey results were skewed since their responses were fake. When they were asked about their weight anonymously, they knew their identity would be kept hidden, so they gave honest answers in the survey. As a result, they are distinct.

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