00:01
So we have two sample sizes, both of 36.
00:05
And the first one is the mean for the freeway, or excuse me, for the downtown area restaurant, and that was a sample of revenue of $360 ,000 with a sample standard deviation of $50 ,000.
00:21
And for the other restaurant that was on the freeway, we have a sample of, again, 36, and we have 340 ,000.
00:32
With the standard deviation for the freeway being 40 ,000.
00:37
And it said, don't assume that the standard deviations are equal.
00:41
So we will be assuming that the mean from these, and i believe they said to subscript them sub one and sub two.
00:50
So we'll think of this as sub one, sub one, and this is sub two and sub two.
00:57
So this is for the downtown, and this will be for the freeway.
01:01
And so we're going to assume that those means are equal and alternately he actually thinks that the downtown will fare better than the freeway.
01:14
So we have a two sample technically a t test.
01:19
Now depending on the way you're being taught, some people will have been taught that if both of these are at least 30 to go ahead and use a two sample z test.
01:30
I'm going to do it as a t test, but again, if your text is having you use z values here, your calculation of the test statistic will be the same, but the table you use will be different.
01:42
So let's find the test statistic, which again is technically a t value.
01:46
And we'll talk about degrees of freedom in a minute.
01:49
So we're going to take that 360 ,000, less the 340 ,000, and then we're going to divide that by that standard air, which is going to end up being that 50 ,000...