00:01
In question in item a, we should compute what is the estimate for the population mean.
00:05
So the way that we estimate what population means by the sample mean, which is x bar.
00:13
So here what we should do is sum all the values that we have here, where n is the number of observations in our case 16, and divide this by 16.
00:24
If you do this, you're going to get the summation 644 or 54, divided by 6.
00:30
Which is 40 .87.
00:36
So this will be the answer for the first item.
00:40
For item b, we should compute what is the standard deviation.
00:43
We usually use the letter s to express the standard deviation here.
00:48
So basically, the formula is given by the square root of the summation.
00:53
For each number, i should subtract the mean that we compute it and calculate the square of this.
01:01
And then when i have all these difference squares, i'm going to sum them and divide this by n minus 1, which is in our case is 15.
01:14
So if you compute what is in the numerator, you're going to get 8275 .75 divided by 15.
01:25
So this here is basically the square root of 551 .1.
01:34
And this here will be without the square root, 23 .49.
01:42
Now for the item c, we should compute a 95 % confidence interval for the standard deviation in the population.
01:52
So the formula here that we use is that the lower bound for this interval is given by the square root of n minus 1, our standard deviation, divided by and i'm going to explain what is this value here, the quies here for the right side, then n minus 1, the same thing denumerated, but now the lower side.
02:20
So these values here are quantiles in the quai square distribution...