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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

Dem bones (2.2) Osteoporosis is a condition in which the bones become brittle due to loss of minerals. To diagnose osteoporosis, an elaborate apparatus measures bone mineral density (BMD). BMD is usually reported in standardized form. The standardization is based on a population of healthy young adults. The World Health Organization (WHO) criterion for osteoporosis is a BMD score that is 2.5standard deviations below the mean for young adults. BMD measurements in a population of people similar in age and gender roughly follow a Normal distribution.

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(a) Explain to someone who knows no statistics what it means to say that xis an unbiased estimator of 渭.

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