21. Researchers working for a certain airline are investigating the weight of carry-on bags. The researchers will use the mean weight of a random sample of 800 carry-on bags to estimate the mean weight of all carry-on bags for the airline. Which of the following best describes the effect on the bias and the variance of the estimator if the researchers increase the sample size to 1,300 ? (A) The bias will decrease and the variance will remain the same. (B) The bias will increase and the variance will remain the same. (C) The bias will remain the same and the variance will decrease. (D) The bias will remain the same and the variance will increase. (E) The bias will decrease and the variance will decrease.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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21. Researchers working for a certain airline are investigating the weight of carry-on bags. The researchers will use
the mean weight of a random sample of 800 carry-on bags to estimate the mean weight of all carry-on bags for
the airline. Which of the following best describes the effect on the bias and the variance of the estimator if the
researchers increase the sample size to 1,300 ?
(A) The bias will decrease and the variance will remain the same.
(B) The bias will increase and the variance will remain the same.
(C) The bias will remain the same and the variance will decrease.
(D) The bias will remain the same and the variance will increase.
(E) The bias will decrease and the variance will decrease.
Transcribed Image Text:21. Researchers working for a certain airline are investigating the weight of carry-on bags. The researchers will use the mean weight of a random sample of 800 carry-on bags to estimate the mean weight of all carry-on bags for the airline. Which of the following best describes the effect on the bias and the variance of the estimator if the researchers increase the sample size to 1,300 ? (A) The bias will decrease and the variance will remain the same. (B) The bias will increase and the variance will remain the same. (C) The bias will remain the same and the variance will decrease. (D) The bias will remain the same and the variance will increase. (E) The bias will decrease and the variance will decrease.
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