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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 gypsy moth is a serious threat to oak and aspen trees. A state agriculture department places traps throughout the state to detect the moths. When traps are checked periodically, the mean number of moths trapped is only 0.5,but some traps have several moths. The distribution of moth counts is discrete and strongly skewed, with standard deviation0.7.

(a) What are the mean and standard deviation of the average number of moths xin50traps?

(b) Use the central limit theorem to help you find the probability that the average number of moths in 50traps is greater than0.6.

A researcher initially plans to take anSRS of size n from a population that has a mean of 80 and a standard deviation of 20. If he were to double his sample size (to 2n), the standard deviation of the sampling distribution of the sample mean would be multiplied by

(a) 2.

(b)12 .

(c) 2.

(d) 12.

(e)12n

A grocery chain runs a prize game by giving each customer a ticket that may win a prize when the box is scratched off. Printed on the ticket is a dollar value (\(500,\)100,\(10)or the statement, 鈥淭his ticket is not a winner.鈥� Monetary prizes can be redeemed for groceries at the store. Here are the distribution of the prize values and the associated probabilities for each prize:

Which of the following are the mean and standard deviation, respectively, of the winnings?
\)15.00,\(2900.00
(b) \)15.00,\(53.85
(c) \)15.00,\(26.9

(d) \)156.25,\(53.85

(e) \)156.25,$26.93

Suppose that you are a student aide in the library and agree to be paid according to the 鈥渞andom pay鈥� system. Each week, the librarian flips a coin. If the coin comes up heads, your pay for the week is \(80. If it comes up tails, your pay for the week is \)40. You work for the library for 100 weeks. Suppose we choose an SRS of 2 weeks and calculate your average earnings x. The shape of the sampling distribution of xwill be

(a) Normal.

(b) approximately Normal

(c) right-skewed

(d) left-skewed.

(e) symmetric but not Normal.

The candy machine Suppose a large candy machine has 15% orange candies. Use Figure 7.13 (page 435) to help answer the following questions.

(a) Would you be surprised if a sample of 25 candies from the machine contained 8 orange candies (that's 32%orange)? How about 5 orange candies (orange)? Explain.

(b) Which is more surprising: getting a sample of 25 candies in which localid="1649737645698" 32%are orange or getting a sample of 50 candies in which localid="1649737650189" 32%are orange? Explain.
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