00:05
So in this problem, we're being asked to construct a 95 % confidence interval based off of the given information.
00:12
So the first thing we'll want to do in the situation, since we're working with the t distribution, is find the t value.
00:21
Once we find the t value, we can use that to find the margin of error and ultimately to find the confidence interval.
00:37
When faced with the word problem like this, the first thing we want to do is look through the problem and try and find all of the relevant information.
00:44
So in this problem, by doing a simple read -through, we have computer repairs.
00:57
So in a random sample of seven computers, so we know n equals seven, the main repair costs was $110.
01:05
So x -bar is $110.
01:09
And the standard readition was $44 .50, which is $44 .5.
01:17
And we know that the confidence level from the problem is 0 .95.
01:24
So first to find the t value, we need to determine the degrees of freedom, which is equal to sample size minus 1, 7 minus 1, or 6...