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Chapter 7: Q. T7.11 (page 487)

Here are histograms of the values taken by three sample statistics in several hundred samples from the same population. The true value of the population parameter is marked with an arrow on each histogram.

Which statistic would provide the best estimate of the parameter? Justify your answer

Short Answer

Expert verified

The resultant graph is

Step by step solution

01

Given Information

The given graphs

02

Explanation for correct option

The graph shows that the bars are centred around the value and have the least fluctuation (therefore the smallest overall width) (indicated by the arrow).

As a result, histogram A would lead to an excellent parameter estimation.

As a result, the best solution is (A)

03

Explanation for incorrect option

The option (b) and (c) is not the correct answer.

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Most popular questions from this chapter

A newborn baby has extremely low birth weight (ELBW) if it weighs less than 1000 grams. A study of the health of such children in later years examined a random sample of 219 children. Their mean weight at birth was x-xยฏ=810grams. This sample mean is an unbiased estimator of the mean weight ฮผ in the population of all ELBW babies, which means that

a. in all possible samples of size 219 from this population, the mean of the values of x-xยฏwill equal 810 .

b. in all possible samples of size 219 from this population, the mean of the values of x-xยฏwill equal ฮผ

c. as we take larger and larger samples from this population, x-xยฏwill get closer and closer to ฮผ.

d. in all possible samples of size 219 from this population, the values of x-xยฏwill have a distribution that is close to Normal.

e. the person measuring the children's weights does so without any error.

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AP2.20 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, \(25) or the statement "This ticket is not a winner." Monetary prizes can be redeemed for groceries at the store. Here is the probability distribution of the amount won on a randomly selected ticket:

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