For a sample of 42 rabbits, the mean weight is 5 pounds and the standard deviation of weights is 3 pounds. Which of the following is most likely true about the weights for the rabbits in this sample? (A) The distribution of weights is approximately normal because the sample size is 42, and therefore the central limit theorem applies. (B) The distribution of weights is approximately normal because the standard deviation is less than the mean. (C) The distribution of weights is skewed to the right because the least possible weight is within 2 standard deviations of the mean. (D) The distribution of weights is skewed to the left because the least possible weight is within 2 standard deviations of the mean. (E) The distribution of weights has a median that is greater than the mean.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
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For a sample of 42 rabbits, the mean weight is 5 pounds and the standard deviation of weights is 3 pounds.
Which of the following is most likely true about the weights for the rabbits in this sample?
(A) The distribution of weights is approximately normal because the sample size is 42, and therefore the central
limit theorem applies.
(B) The distribution of weights is approximately normal because the standard deviation is less than the mean.
(C) The distribution of weights is skewed to the right because the least possible weight is within 2 standard
deviations of the mean.
(D) The distribution of weights is skewed to the left because the least possible weight is within 2 standard
deviations of the mean.
(E) The distribution of weights has a median that is greater than the mean.
Transcribed Image Text:For a sample of 42 rabbits, the mean weight is 5 pounds and the standard deviation of weights is 3 pounds. Which of the following is most likely true about the weights for the rabbits in this sample? (A) The distribution of weights is approximately normal because the sample size is 42, and therefore the central limit theorem applies. (B) The distribution of weights is approximately normal because the standard deviation is less than the mean. (C) The distribution of weights is skewed to the right because the least possible weight is within 2 standard deviations of the mean. (D) The distribution of weights is skewed to the left because the least possible weight is within 2 standard deviations of the mean. (E) The distribution of weights has a median that is greater than the mean.
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