00:01
The sample size was given in the question, denoted by n, that was given as 24.
00:05
And this is a bell shape, so the bell shape means the normal distribution.
00:10
So the sample mean here given as 34, and the standard deviation for the sample, that was given as 7, and the confidence level, which is 98 percent as a decimal number, we can write as 0 .98.
00:21
So we have to construct the confidence interval for the population mean.
00:26
So let's remember the formula.
00:28
The confidence interval for the population mean, this is the sample mean, plus or minus, because we know the sample standard division, use the t distribution, sample standard division, divide by root n.
00:38
This is the formula here.
00:40
Let's get the alpha value, which is 1 minus confidence level.
00:43
I need alpha over 2, 1 minus 0 .98, divide by 2, which would be 0 .01 here.
00:49
So i need the degrees of freedom, n minus 1, which is 24 minus 1, 23...