00:01
So we have a population of 5 ,000, and we are told that the proportion who sampled their food and thought it tasted good was 87%.
00:10
And we're taking a random sample of size 144.
00:16
And we want to look at what the sampling distribution of proportions looks like.
00:23
And you asked only the question, what would the mean be? well, the mean proportion would be 0 .87, because that.
00:31
That sample size is less than or equal to the population side that sample size is less than or equal to 10 times that sample size.
00:41
So the population is we have not sampled more than 10%, so we don't have to multiply by that factor.
00:48
So regardless, the mean would be this anyway.
00:52
And you didn't ask what the standard deviation would be, but the standard deviation of the sampling distribution would be that 0 .87, times 0 .13 divided by that 144, and it would be approximately normal.
01:04
And let me just give you this value, and then we'll move to the second part of the question.
01:08
So 0 .87 times 0 .13 divided by that 144.
01:14
So that standard deviation of the sampling distribution would be 0 .0280.
01:21
So it would be approximately normal with this mean and that standard deviation...