00:01
Hey there, welcome to numerade.
00:03
So we are asked to construct a 90 % confidence interval for each of these statistics and values that were given here.
00:12
So we're going to round to three decimal places.
00:16
Our confidence interval equation is the confidence interval equals sample mean, plus and minus our t critical value, multiplied by the standard deviation, divided by the square root of our sample size n.
00:37
So let us do the first part here.
00:40
Using the equation, we plug in the values.
00:43
Confidence interval equals.
00:46
Sample mean is 0 .8 .5.
00:50
Plus and minus our t critical value, based off the 90 % confidence, is around 1 .66, multiplied by the standard deviation, which is 0 .28 divided by, let's take it's divided by, the square root of our sample size, which is 120.
01:24
This gives us a lower bound and a upper bound here.
01:28
So we get 0 .807 comma, 0 .893...