00:01
Hey there, welcome to numerate.
00:02
So we are given five values here in this data set, and we're basically asking if the population mean is less than 20, using a significance level of 0 .01.
00:13
So we first have to identify the null and alternatives.
00:22
So for our null hypothesis, we are not giving any prior information here, so this can be assumed that this is the mean is greater than, and then equal to 20 because our claim here, which is our alternative, is less than 20.
00:42
So this, since less than, will be a left -tailed test.
00:53
So this is just a one -tailed, one left -tail test.
00:59
Basically is one -tailed.
01:17
All right.
01:18
So now we have to identify what type of test.
01:22
So since we're not given the population standard deviation, this will be a one sample t test.
01:30
We're given a small sample size.
01:36
So therefore, our test statistic, we're going to calculate it as...