Asked by Allie Tangco on May 29, 2024

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As the degrees of freedom increase, the t distribution approaches the _____ distribution.

A) uniform
B) normal
C) exponential
D) p

Degrees of Freedom

Degrees of freedom typically represent the number of values in a calculation that are free to vary, often used in the context of statistical tests to specify the distribution of test statistics.

T Distribution

A probability distribution that is used in hypothesis testing for small sample sizes, when the population standard deviation is unknown.

Normal Distribution

A bell-shaped frequency distribution curve, where most occurrences take place in the middle of the range and fewer on the extremes, characterized by mean and standard deviation.

  • Comprehend the relationship between the t-distribution and the normal distribution as degrees of freedom increase.
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AO
Ayomide OlowookereJun 04, 2024
Final Answer :
B
Explanation :
As the degrees of freedom increase, the t distribution increasingly resembles the normal distribution. This is because the t distribution is derived from the normal distribution, and as the sample size (and degrees of freedom) increase, the sample mean approaches the population mean, and the sample standard deviation approaches the population standard deviation, making the distribution more and more normal.