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Chapter 7: Q.2.2 (page 420)
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.
The test statistic is .
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A sample of teens A study of the health of teenagers plans to measure the blood cholesterol levels of an SRS of - to -year-olds. The researchers will report the mean from their sample as an estimate of the mean cholesterol level M in this population.
(a) Explain to someone who knows no statistics what it means to say that is an unbiased estimator of .
(b) The sample result x is an unbiased estimator of the population mean no matter what size SRS the study chooses. Explain to someone who knows no statistics why a large random sample gives more trustworthy results than a small random sample.
Increasing the sample size of an opinion poll will
(a) reduce the bias of the poll result.
(b) reduce the variability of the poll result.
(c) reduce the effect of nonresponse on the poll.
(d) reduce the variability of opinions.
(e) all of the above.
How tall? A random sample of female college students has a mean height of inches, which is greater than the -inch mean height of all adult American women.
Are the events 鈥渋n the labor force鈥� and 鈥渃ollege graduate鈥� independent? 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
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