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Chapter 3: Q. 3.200 (page 147)

Heights of Basketball Players. This exercise requires that you have first done Exercise 3.199. In Example 3.12on page 109, we found that, considering the five starting players on Team II a sample of all male starting college basketball players, the mean and standard deviation of the heights are 75inchesand 6.2inches. respectively. Explain why, numerically, the sample mean of 75inches is the same as the population mean found in Exercise3.199(a) but that the sample standard deviation of 6.2inches differs from the population standard deviation found in Exercise 3.199(b).

Short Answer

Expert verified

The sample mean and sample standard deviation are estimates of the given population mean and standard deviation.

Step by step solution

01

Given information

We need to compare the population mean and standard deviation to the sample mean and standard deviation

02

Explanation

Because the sample mean is a guess at the population mean, it's possible that the two values are equal, but it's also possible that they're not.

Similarly, the sample standard deviation is a guess at the population standard deviation; it's possible that they're the same, but it's also possible that they're not.

It's possible that the means are the same, but the standard deviations aren't .

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