You want a rug in the bedroom. You only have a space that measures 9 feet by 7 feet. Do you have enough space for a rug with an
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Answer:
The confidence interval would be more narrow if the confidence level were changed to 90%
Step-by-step explanation:
For a small sample size of n = 18 a pivotal quantity that we can use to form a confidence interval for is given by
that has a t distribution with (n-1) degrees of freedom. We find a
% confidence inverval using
, where
is the t-value such that there is an area equal to
above this t-value and below the curve of the density of the t distribution with n-1 df. We find a 95% confidence interval with
and we find a 90% confidence interval with
. Because of
and
, the confidence interval would be more narrow if the confidence level were changed to 90%.