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Chapter 7: Q.22 (page 431)

The name for the pattern of values that a statistic takes when we sample repeatedly from the same population is

(a) the bias of the statistic.

(b) the variability of the statistic.

(c) the population distribution.

(d) the distribution of sample data.

(e) the sampling distribution of the statistic.

Short Answer

Expert verified

A correct answer is an option (e) the sampling distribution of the statistic.

Step by step solution

01

Given Information

The name for the pattern of values that a statistic takes when we sample repeatedly from the same population.

02

Explanation

A statistic is a descriptive measure for a sample, while the pattern of values is called a distribution, and thus combined the pattern of values of a statistic is called the sampling distribution of the statistic.

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Most popular questions from this chapter

The student newspaper at a large university asks an SRS of 250undergraduates, “Do you favor eliminating the carnival from the term-end celebration?” All in all, 150of the 250are in favor. Suppose that (unknown to you) 55%of all undergraduates favor eliminating the carnival. If you took a very large number of SRSs of size n=250from this population, the sampling distribution of the sample proportion P∧would be

(a) exactly Normal with mean 0.55and standard deviation of 0.03

(b) approximately Normal with mean 0.55and standard deviation 0.03.

(c) exactly Normal with mean 0.60and standard deviation 0.03.

(d) approximately Normal with mean 0.60and standard deviation 0.03.

(e) heavily skewed with mean 0.55and standard deviation 0.03.

Here is a dot plot of the adult literacy rates in 177countries in 2008, according to the United Nations. For example, the lowest literacy rate was 23.6%, in the African country of Burkina Faso. Use the dot plot below to answer Questions

Based on the shape of this distribution, what numerical measures would best describe it?

(a) The five-number summary

(b) The mean and standard deviation

(c) The mean and the quartiles

(d) The median and the standard deviation

(e) It is not possible to determine which numerical values to use.

A sample of teens A study of the health of teenagers plans to measure the blood cholesterol levels of an SRS of 13- to 16-year-olds. The researchers will report the mean x 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 xis an unbiased estimator of μ.

(b) The sample result x is an unbiased estimator of the population mean μ 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.

A 10-question multiple-choice exam offers 5choices for each question. Jason just guesses the answers, so he has a probability 1/5of getting any one answer correct. You want to perform a simulation to determine the number of correct answers that Jason gets. One correct way to use a table of random digits to do this is the following:

(a) One digit from the random digit table simulates one answer, with 5=right and all other digits =wrong. Ten digits from the table simulate 10answers. (b) One digit from the random digit table simulates one answer, with 0 or 1 =right and all other digits =wrong. Ten digits from the table simulate 10answers.

(c) One digit from the random digit table simulates one answer, with odd =right and even =wrong. Ten digits from the table simulate 10answers.

(d) Two digits from the random digit table simulate one answer, with 00to 20=right and 21to 99=wrong. Ten pairs of digits from the table simulate 10answers.

(e) Two digits from the random digit table simulate one answer, with 00to 05=right and 06to 99= wrong. Ten pairs of digits from the table simulate 10answers.

Which of the following statements about the sampling distribution of the sample mean is incorrect? (a) The standard deviation of the sampling distribution will decrease as the sample size increases.

(b) The standard deviation of the sampling distribution is a measure of the variability of the sample mean among repeated samples.

(c) The sample mean is an unbiased estimator of the true population mean.

(d) The sampling distribution shows how the sample mean will vary in repeated samples.

(e) The sampling distribution shows how the sample was distributed around the sample mean
See all solutions

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