aianjie

 

AIM 5: Explain the degree of freedom

1、With 60 observations, what is the appropriate number of degrees of freedom to use when carrying out a statistical test on the mean of a population?

A) 61.

B) 60.

C) 58.

D) 59.

aianjie

 

The correct answer is D

When performing a statistical test on the mean of a population based on a sample of size n, the number of degrees of freedom is n – 1 since once the mean is estimated from a sample there are only n – 1 observations that are free to vary. In this case the appropriate number of degrees of freedom to use is 60 – 1 = 59.

aianjie

 

2、Which one of the following distributions is described entirely by the degrees of freedom?

A) Student’s t-distribution.

B) Normal distribution.

C) Binomial distribution.

D) Lognormal distribution.

aianjie

 

The correct answer is A

Student’s t-distribution is defined by a single parameter known as the degrees of freedom

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