00:01
Hi, i'm david and i'm here to help you on seeing your question.
00:03
Now let me bring up your question here.
00:06
In the question here we are going to discuss about the confidence interval for the mean.
00:11
Let me remind to you that the confidence interval for the mu, it will be the x bar plus and minus t and minus 1 degree freedom and for over 2, t2, t minus s over sequence of n.
00:22
In this question here we have given the 60 high school teachers, so n equal to the 60.
00:28
The sample mean x -par equal to the 52 ,113, the s equal to the 7 ,804.
00:38
The question asked mr.
00:40
Construct the 97 % confidence interval.
00:43
Look at the formula we have obtained the x -par, the s, and the n.
00:46
The only quantity we don't know yet will be the critical value, t and minus 1 degree freedom, and 4 over 2, n equal to the 60 minus 1 will be the 59, and the 90 % confidence interval and 5 equal to the 3 % divided by 2 equal to the 1 .5 % which is equal to the 0 .015.
01:07
This critical value i have to compute by unlike calculator for the t distribution.
01:14
We have the degree of freedom equal to the 59 and we have the level equal to the 0 .015...