00:02
Once again, welcome to a new problem.
00:06
This time we're dealing with hypothesis testing.
00:11
We're dealing with hypothesis testing.
00:14
And when you think about hypothesis testing, we have hypothesis testing for means.
00:20
And under means, we have two samples test.
00:26
And these tests for means happen to be independent.
00:30
So we have an independent samples t test.
00:38
We have an independent samples t test.
00:42
And the test statistic for the independent samples t test.
00:50
So we're looking at the test statistics for the independent samples t test is equivalent to t equals to x by 1 minus.
01:02
X -but -2, the hypothesized means for the population, if they're equivalent, it's going to give us zero.
01:13
And then the standard deviation, assuming an equal, assuming different variances or unequal variances, we have the variance of the first group over the sample size of the first group plus the variance of the second group plus of the the sample size for the second group.
01:36
In terms of degrees of freedom, we have the sample for the first group plus the sample for the second group minus two.
01:46
That's your typical degrees of freedom.
01:53
We're looking at a new problem and in this particular problem, assume that different airlines have flights which are in competition.
02:06
And these airlines compete for customer experience on the basis of arrival time.
02:15
So we have data reflecting the number of minutes that the flights were late.
02:22
So the data reflects the number of minutes that the flights were late.
02:26
We have two airlines.
02:28
We have delta and we have southwest.
02:31
And so the first thing we want to do is we want to determine.
02:36
Want to determine the appropriate hypothesis for testing the difference between the two populations population means.
02:47
Remember, m .1 is the mean number of minutes of delayed flights for delta, and then mu2 represents the delay times for southwest, population mean delay times in minutes for southwest.
03:07
So in terms of the nile hypothesis, we're saying that the two flights are equal, on average, in delay times.
03:21
We could also say this is the same as m1 minus m2 equals to zero.
03:26
And then the alternative hypothesis was saying that the two flights are different.
03:32
So m1 is not equal.
03:35
To mu2 or we could say me 1 minus mu 2 is not equal to 0...