00:01
For this problem to begin, in part a we're asked to define and state the null and alternative hypotheses.
00:06
So in this case, our null hypothesis is that the mean height of a californian male is equal to the mean height of a californian female.
00:17
There's no significant difference.
00:19
The alternative hypothesis, which is our claim, is that the mean height of a californian male is greater than the mean height of a californian female.
00:31
For part b, for finding our test statistics, we'll have that our test statistic, t, will be equal to x bar 1 minus x bar 2 divided by the square root of variance 1 over n1 plus variance 2 over n2, which we can find just by plugging in our values.
01:00
So x bar 1 is for the males, that's 69 .2.
01:05
X bar 2 is for the females, that's 63 .7.
01:08
We divide by the square root of 3 .1 squared, since we're doing variance, over the number of males, which was 47, plus 4 .5 squared over the number of females, which was 53...