Question

Degrees of freedom – denominator:; df; (; denom; ) = ________

a) 1
b) 2
c) 3
d) 4

Answer 1

The correct choice from the given options is
`\(df = 22\)`

The degrees of freedom
`(\(df\))` for estimating the mean of a population when the population standard deviation
`(\(\sigma\))` is not known and you are using a t-distribution is given by
`\(df = n - 1\)`, where
`\(n\)` is the sample size.

In this case, with a single sample of size 23, the degrees of freedom would be:

`\[df = 23 - 1 = 22\]`

Therefore, the correct choice from the given options is
`\(df = 22\)`.

The probable question may be: "Which of the following would be the degrees of freedom (df) if a single sample of size 23 is used to estimate the mean of a population with a confidence interval when is not known?

a. 23

b. 21

c. 22

d. 24"