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Chapter 7: Q.3.2 (page 426)

The histogram above left shows the intervals (in minutes) between eruptions of the Old Faithful geyser for all 222recorded eruptions during a particular month. For this population, the median is 75minutes. We used Fathom software to take 500SRSs of size 10from the population. The 500values of the sample median are displayed in the histogram above right. The mean of the 500sample median values is 73.5.

Suppose we had taken samples of size 20instead of size 10. Would the spread of the sampling distribution be larger, smaller, or about the same? Justify your answer

Short Answer

Expert verified

The spread of the distribution would be larger.

Step by step solution

01

Given Information

Median is 75.

The sample size is20

Mean is 73.5

02

Explanation

We have a more precise estimate is provide by the larger sample because it contains more information in comparison to the smaller sample. Thus, it could be said that spread of the distribution would be larger.

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Most popular questions from this chapter

For Exercises 1 to 4, identify the population, the parameter, the sample, and the statistic in each setting.

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In a certain large population of adults, the distribution of IQ scores is strongly left-skewed with a mean of 122and a standard deviation of 5. Suppose adults are randomly selected from this population for a market research study. The distribution of the sample mean of IQ scores is

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(e) approximately Normal with a mean122and standard deviation0.35.
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