Suppose n 100 Which confidence interval for is unknown use

Suppose n = 100. Which confidence interval for ( is unknown) uses a t distribution with more degrees of freedom: a 95% confidence interval or a 99% confidence interval?

1. the 99% confidence interval

2. both confidence intervals have the same degrees of freedom

3. the 95% confidence interval

4. can\'t tell

Solution

The degrees of freedom only depend on the sample size; it does not depend on the confidence level.

Hence, as they have the same sample size n = 100,

OPTION 2: both confidence intervals have the same degrees of freedom [ANSWER]