Question

You are planning to evaluate the mean of a single continuous variable from a study with a sample of n =10 using the t statistic. What are the degrees of freedom for the sample?

a. 11
b. 9
c. 10
d. 8

Answer 1

`t=(\bar X -\mu)/((s)/(√(n)))`

And for this case the degrees of freedom are given by:

`df= n-1 = 10-1=9`

And the best option would be:

b. 9

Explanation:

For this case our parameter of interest is the true mean
`\mu` and we have a sampel size of n =10.

We are going to use a t test and then the t statistic given by:

`t=(\bar X -\mu)/((s)/(√(n)))`

And for this case the degrees of freedom are given by:

`df= n-1 = 10-1=9`

And the best option would be:

b. 9