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Chapter 2: Q2 (page 55)

More Heights The population of heights of adult males is normally distributed. If we obtain a voluntary response sample of 5000 of those heights, will a histogram of the sample heights be bell-shaped?

Short Answer

Expert verified

Yes, the histogram of the sample heights will be bell-shaped.

Step by step solution

01

Given information

The population of heights of all adult males is normally distributed.

A histogram is plotted for a voluntary sample of 5000 heights of adult males.

02

Histogram for normally distributed data

If a sample of sufficiently large size is extracted from a normally distributed population, it will also follow a normal distribution.

The histogram for such a sample is always bell-shaped.

Here, the size of the sample is extremely large (5000). This ensures that the sample will follow a normal distribution.

The histogram will be mound (bell)-shaped as the obtained sample is normally distributed.

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