00:01
A farmer wants to test if a new fertilizer, excuse me, will produce a more massive crop.
00:06
Suppose with the data we're collected for a random set of six crops, where each difference is calculated by subtracting the mass of the crop the previous year with the old fertilizer from the mass of the crop this year with the new fertilizer.
00:20
Assume that the populations are normally distributed.
00:23
The test statistic is t equals 1 .266.
00:28
The significance level was 0 .10.
00:31
Corresponding rejection region was t is greater than 1 .476.
00:39
Our null hypothesis was that the mean difference is equal to zero, essentially meaning there was no mean difference.
00:48
And the alternative is that that mean difference was greater than zero.
00:55
So which of the following statements are accurate for this hypothesis test in order to evaluate the claim that the true mean differences between the mass of the crops with the new fertilizer and the mass of the crops with the old fertilizer is greater than zero.
01:08
So if we go ahead and draw this, we have our rejection region at 1 .476.
01:18
Anything greater we're going to reject, anything less we will fail to reject...