Chapter 7: Q.21 (page 431)
A newspaper poll reported that of respondents liked business tycoon Donald Trump. The number is
(a) a population.
(b) a parameter.
(c) a sample.
(d) a statistic.
(e) an unbiased estimator.
is a descriptive measure that results from a sample.
Therefore, the correct answer is option (d).
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Here is a dot-plot of the adult literacy rates in countries in, according to the United Nations. For example, the lowest literacy rate was , in the African country of Burkina Faso. Use the dot-plot below to answer the Question
The overall shape of this distribution is
(a) clearly skewed to the right.
(b) clearly skewed to the left.
(c) roughly symmetric.
(d) uniform.
(e) There is no clear shape.
IRS audits The Internal Revenue Service plans to examine an SRS of individual federal income tax returns from each state. One variable of interest is the proportion of returns claiming itemized deductions. The total number of tax returns in each state varies from over 15 million in California to about in Wyoming.
(a) Will the sampling variability of the sample proportion change from state to state if an SRS of tax returns is selected in each state? Explain your answer.
(b) Will the sampling variability of the sample proportion change from state to state if an SRS of of all tax returns is selected in each state? Explain your answer
More on insurance An insurance company knows that in the entire population of homeowners, the mean annual loss from fire is and the standard deviation of the loss is . The distribution of losses is strongly right-skewed: many policies have loss, but a few have large losses. If the company sells policies, can it safely base its rates on the assumption that its average loss will be no greater than ? Follow the four-step process
If we take a simple random sample of size from a population of size , the variability of our estimate will be
(a) much less than the variability for a sample of size from a population of size .
(b) slightly less than the variability for a sample of size from a population of size .
(c) about the same as the variability for a sample of size from a population of size .
(d) slightly greater than the variability for a sample of size from a population of size .
(e) much greater than the variability for a sample of size from a population of size .
Mars, Incorporated, says that the mix of colors in its M&M’S® Milk Chocolate Candies is blue, orange, green,yellow, red, and brown. Assume that the company’s claim is true. We want to examine the proportion of orange M&M’S in repeated random samples of candies. Which of the graphs that follow could be the approximate sampling distribution of the statistic? Explain your choice
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