00:01
In this question, because we are testing here that the mean in the population is equal to 67 .3 against the mean being different than 67 .3, we are going to assume that because our sample size is quite small, we should use the t -test.
00:18
But first to find the p -value, we need to find the test statistic, which is given by the difference between the sample mean, which is the value of m, minus the value that we have in our hypothesis, divided by the standard deviation, 17 .6, divided by the square root of the sample size.
00:37
So the test statistic here is 119.
00:39
We don't need to use, like, we don't have a space to complete the requirements, this value, but we need to use this to find the p -value.
00:48
So the p -value for this kind of test with the different sign in the alternative is given by twice the probability, and in this case, like i said, we have a t -test, which means we should use the t -distribution with degrees of freedom, equals to the sample size minus one, so in our case, 18...