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(a)
To explain how many hand and finger widths is your arm.
(a)
Explanation of Solution
It is given in the question that the researcher wants to conduct the survey by finding how long is your arm compared to your hand size. Thus, they explained the process of measuring the arm length. Therefore, we can say that we cannot find out how many hand and finger widths is your arm as it will be different for different individuals. And the answers may vary for every individuals.
(b)
To find out what parameter would this average estimate and what is the population.
(b)
Answer to Problem 29E
The parameter should be your own arm length and the population should be all possible measurements of arm length.
Explanation of Solution
It is given in the question that the researcher wants to conduct the survey by finding how long is your arm compared to your hand size. Thus, they explained the process of measuring the arm length. Now, suppose you repeat your measurements ten times and average your results. Then, the parameter should be your own arm length and the population should be all possible measurements of arm length.
(c)
To find out what is the population now and what parameter would this average estimate.
(c)
Answer to Problem 29E
The population is not the arm lengths of your friends. And the average estimates the mean of these lengths.
Explanation of Solution
It is given in the question that the researcher wants to conduct the survey by finding how long is your arm compared to your hand size. Thus, they explained the process of measuring the arm length. Now, suppose you now collect arm lengths measured in this way from nine friends and average these ten measurements. Then, the population is not the arm lengths of your friends. And the average estimates the mean of these lengths.
(d)
To explain do you think these ten arm length are likely to be representative of the population of arm lengths in your community or in the country and explain why or why not.
(d)
Answer to Problem 29E
No, we do not think.
Explanation of Solution
It is given in the question that the researcher wants to conduct the survey by finding how long is your arm compared to your hand size. Thus, they explained the process of measuring the arm length. Thus, we do not think these ten arm length are likely to be representative of the population of arm lengths in your community or in the country because friends are most likely to be about the same and likely not very diverse or representative of the larger population.
Chapter 12 Solutions
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