00:01
Here we have a sample of size 5 with a sample mean of 13 .8 and a sample standard deviation of 4.
00:10
And we are asked to find, based on the sample, a .95 confidence interval for the population mean.
00:19
To start, i just recommend checking these numbers, especially the sample size 5.
00:25
Sometimes the numbers can come out wrong on the web page, so just verify that i have the right numbers.
00:30
If i don't, the solution will still work, you will just have to substitute the correct number into your solution.
00:36
So we're looking for a 95 % confidence interval for the population mean.
00:45
Now two things.
00:47
We don't know the population standard deviation, so we are relying on the sample standard deviation, which means that we can use the t distribution for the basis of our confidence interval.
00:59
The other thing we need to know if we're using the t distribution is either the sample size is large, which in this case it is not, or that the sample is coming from a population that is approximately normally distributed...