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Chapter 7: Q.66 (page 456)
The standard deviation of the average scores you get should be close to
(a) .
(b) .
(c) .
(d) .
(e) none of these.
The average score's standard deviation is.
The correct answer is (c).
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The histogram above left shows the intervals (in minutes) between eruptions of the Old Faithful geyser for all recorded eruptions during a particular month. For this population, the median is minutes. We used Fathom software to take SRSs of size from the population. The values of the sample median are displayed in the histogram above right. The mean of the sample median values is .
Suppose we had taken samples of size instead of size . Would the spread of the sampling distribution be larger, smaller, or about the same? Justify your answer
Predict the election Just before a presidential election, a national opinion poll increases the size of its weekly random sample from the usual people to people.
(a) Does the larger random sample reduce the bias of the poll result? Explain.
(b) Does it reduce the variability of the result? Explain
The histogram above left shows the intervals (in minutes) between eruptions of the Old Faithful geyser for all recorded eruptions during a particular month. For this population, the median is minutes. We used Fathom software to take SRSs of size from the population. The values of the sample median are displayed in the histogram above right. The mean of the sample median values is 73.5.
Is the sample median an unbiased estimator of the population median? Justify your answer
According to the U.S. census, the proportion of adults in a certain county who owned their own home was . An SRS of adults in a certain section of the county found that owned their home. Which one
of the following represents the approximate probability of obtaining a sample of adults in which fewer than own their home, assuming that this section of the county has the same overall proportion of adults who own their home as does the entire county?
(a)
(b)
(c)
(d)
(e)
Imagine taking an SRS of . Make a graph showing a possible distribution of the sample data. Give the value of the appropriate statistic for this sample.
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