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. OB. 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. O C. 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. O D. 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.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter2: Mathematics For Microeconomics
Section: Chapter Questions
Problem 2.15P
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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.
O C. 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.
O D. 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.
Transcribed Image Text: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. O C. 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. O D. 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.
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