00:01
For this question, let me take notes what's given here.
00:03
Standard deviation given here, so this is a sample standard deviation which is 8 .2, and the sample size which was given as 33, and what about what else given here? so the population standard deviation which is denoted by sigma, that was given as 10 here, and the alpha value which is given as 0 .1, so we're going to compare the p -value with this one here.
00:28
First of all, identify the null hypothesis and the alternative hypothesis.
00:33
So for the null hypothesis, we just accept the standard deviation is not equal to 10, and for the alternative one, sorry, is equal to 10, for the alternative one which is equal, which is not equal to 10 here.
00:47
So what do we have to find here? so we need to get the chi -squared value.
00:52
So the chi -squared value has the formula which is, this is n minus 1 times, this is the sample standard deviation, and the population standard deviation squared.
01:02
This gives us the chi -squared value here.
01:05
So this is 33 minus 2, minus 1, which is 32 times the sample standard deviation, 8 .2, and divided by the population standard deviation, and take the square of this one here, which is 32 times, open the bracket, this is 8 .2, and divided by 10, close the bracket, and take square, so the value would be, which is 21 .5168.
01:31
And the next step, three decimal places, so with the three decimal places, i can just write this number here...