00:01
So for this problem, we have that our claim is that the male standard deviation, sigma 1, is greater than the female standard deviation, which was, so generally speaking, it's sigma 1 is greater than sigma 2, or being a little bit more specific.
00:22
The claim would be that sigma 1 is greater than 7 ,460.
00:29
So our null hypothesis is going to be that the male standard deviation is equal to 7 ,460, and the alternate hypothesis is that sigma 1 is greater than 7 ,460.
00:47
The appropriate test statistic here is going to be a kai squared test statistic given by our sample size, minus 1 times our sample variance divided by the null hypothesized standard deviation.
01:05
So in this case, we know that our sample size was 55, or pardon me, 56, so we'd have 55 up top, times the standard deviation of 78, 71 words, squared, then we'd divide that by 7460 squared, which, let's see here, i'm just going to bring up my software for this.
01:28
So 5 times 7871 to the power of 2 divided by 7460 to the power of 2.
01:34
Oops, not 22, just to the power of 2.
01:36
So we get that our kai squared test statistic here is equal to 61 .273...