00:01
Once again, welcome to a new problem.
00:05
This time we're dealing with confidence intervals.
00:10
We're dealing with confidence intervals.
00:13
And when it comes to confidence intervals, we do have confidence intervals for means.
00:25
And your typical formula for the confidence interval for mean is x bar plus minus margin of error.
00:35
Remember x bar is the sample mean and the margin of error is t alpha over 2, s over radical n, where the t alpha over 2 is determined based off of degrees of freedom.
00:52
So if the confidence level is 1 minus alpha, so this middle part represents the confidence level, then the proportions at the end equivalent to alpha over 2 and alpha over 2.
01:15
So on both sides.
01:18
And so we have t alpha over 2 on the positive side and negative t alpha of 2 and these are critical t values.
01:34
So we have critical t values that help in determining the confidence interval.
01:43
We're looking at a new problem.
01:45
Where there is a company that produces a thousand chips for trial and it just so happens that there is a claim being made that for every 18 ounce bag of cookies at least the containment is that the bags contained at least a thousand chocolate chip cookies so we have a round random, we have a random sample or random bags of cookies are purchased from different stores.
02:31
So random bags of cookies are purchased from different stores.
02:37
And the, each of the bags are presented.
02:45
So they have, you know, 1 ,000, 194, 12, 36, 12, hundred, 1285.
02:53
So you just have different types of amounts of cookies in the bags and they're all randomized and purchased from different stores.
03:02
So the first thing is we want to determine the shape of the distribution of the data.
03:09
And then the next thing is that we want to look at a 95 % confidence intervention intervention intervention.
03:21
For the chips and then on top of that we want to see we want to compare the confidence interval relative to the company's claim based on the claim that the company makes so the first step is the histogram so if we develop a a typical histogram for this problem using roughly six classes.
03:59
What's going to happen is you're going to have a shape that five or six classes looks like that...