00:01
So our null hypothesis is that our mean is equal to 51, and our alternate is that our mean is not 51.
00:11
And our critical value, okay, so it's a two -tailed test, and we know our significance is .01, so 005, .005.
00:25
I am going to do inverse t, .005, with 129 degrees of freedom to get my critical value.
00:40
Inverse t, half a percent, 129 degrees of freedom, and that is negative 2 .61, and then positive 2 .61 for the other side.
00:58
So anything less than negative 2 .61 or greater than positive 2 .61.
01:03
And then our test statistic is our observed mean minus our expected mean, divided by our sample standard deviation over the square root of 130.
01:14
Which, when we do that, gives us 1 .658, which puts us right here...