Explain why the t-distribution has less spread as the number of degrees of freedom increases. Choose the correct answer below. O A. The t-distribution has less spread as the degrees of freedom increase because, as n increases, s becomes closer to o by the law of large numbers. O B. The t-distribution has less spread as the degrees of freedom increase because the variability introduced into the t-statistic becomes greater as n increases. OC. The t-distribution has less spread as the degrees of freedom increase because, as n increases, less information is known about o by the law of large numbers. O D. The t-distribution has less spread as the degrees of freedom increase because, for large values of n, n2 30, the t-distribution and the normal distribution are the same.

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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Explain why the​ t-distribution has less spread as the number of degrees of freedom increases.
 
 
Explain why the t-distribution has less spread as the number of degrees of freedom increases.
...
Choose the correct answer below.
A. The t-distribution has less spread as the degrees of freedom increase because, as n increases, s becomes closer to o by the law of large numbers.
B. The t-distribution has less spread as the degrees of freedom increase because the variability introduced into the t-statistic becomes greater as n increases.
C. The t-distribution has less spread as the degrees of freedom increase because, as n increases, less information is known about o by the law of large numbers.
O D. The t-distribution has less spread as the degrees of freedom increase because, for large values of n, n 30, the t-distribution and the normal distribution are
the same.
Transcribed Image Text:Explain why the t-distribution has less spread as the number of degrees of freedom increases. ... Choose the correct answer below. A. The t-distribution has less spread as the degrees of freedom increase because, as n increases, s becomes closer to o by the law of large numbers. B. The t-distribution has less spread as the degrees of freedom increase because the variability introduced into the t-statistic becomes greater as n increases. C. The t-distribution has less spread as the degrees of freedom increase because, as n increases, less information is known about o by the law of large numbers. O D. The t-distribution has less spread as the degrees of freedom increase because, for large values of n, n 30, the t-distribution and the normal distribution are the same.
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