Chapter 7: Q.2.1 (page 420)
Graph the population distribution. Identify the individuals, the variable, and the parameter of interest.
Short Answer
The graph of the population distribution:
Chapter 7: Q.2.1 (page 420)
Graph the population distribution. Identify the individuals, the variable, and the parameter of interest.
The graph of the population distribution:
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Get started for freeWhat does the CLT say? Asked what the central limit theorem says, a student replies, "As you take larger and larger samples from a population, the histogram of the sample values looks mote and more Normal." ls the student right? Explain your answer.
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
Larger sample Suppose that the blood cholesterol level of all men aged follows the Normal distribution with mean milligrams per deciliter (mg/dl) and standard deviation
(a) Choose an SRS of men from this population What is the sampling distribution of ?
(b) Find the probability that estimates within . (This is the probability thattakes a value between .) Show your work.
(c) Choose an SRS of men from this population. Now what is the probability that falls withinof? show your wrok.in what sense is the large sample "better".
According to government data, American children under the age of six live in households with incomes less than the official poverty level. A study of learning in early childhood chooses an SRS of children. Find the probability that more than of the sample is from poverty households. Be sure to check that you can use the Normal approximation.
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 .
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