What changes occur in the histograms as the value of n increases?

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Consider a population that contains values of x equal to 0, 1, 2,..., 97, 98, 99. Assume that the values of x are equally likely. For the sample sizes n=2, n = 5, n = 10, n = 30, and n = 50, a computer
was used to generate 500 random samples and calculate x for each sample. Relative frequency histograms of the 500 values of x were constructed for each of the sample sizes. What changes
occur in the histograms as the value of n increases? What similarities exist?
Click on the icon to view the relative frequency histograms.
What changes occur in the histograms as the value of n increases?
A. As the value of n increases, the x value of the histograms' central tendencies increase.
B. As the value of n increases, the x value of the histograms' central tendencies decrease.
C. As the value of n increases, the histograms become less spread out.
D. As the value of n increases, the histograms become more spread out.
Transcribed Image Text:Consider a population that contains values of x equal to 0, 1, 2,..., 97, 98, 99. Assume that the values of x are equally likely. For the sample sizes n=2, n = 5, n = 10, n = 30, and n = 50, a computer was used to generate 500 random samples and calculate x for each sample. Relative frequency histograms of the 500 values of x were constructed for each of the sample sizes. What changes occur in the histograms as the value of n increases? What similarities exist? Click on the icon to view the relative frequency histograms. What changes occur in the histograms as the value of n increases? A. As the value of n increases, the x value of the histograms' central tendencies increase. B. As the value of n increases, the x value of the histograms' central tendencies decrease. C. As the value of n increases, the histograms become less spread out. D. As the value of n increases, the histograms become more spread out.
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