00:01
Hello, in this video i will be answering the following.
00:05
So let's go ahead and start with answering a.
00:07
We want to plot a normal distribution.
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So you're gonna open excel or not excel.
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You're gonna use the minitab software to obtain a scatter plot.
00:33
So you're gonna do, go to graph and then probability and then choose single and then hit ok.
00:54
And then in graph variables you're going to enter the column c, select distribution as normal and click on edit and then click i type tab and then select scores and then click ok.
01:39
And that should get you a normal probability plot that'll have the normal distribution.
01:54
So when you get your plot you'll have the normal probability plot and it's clear that all the data will lie within the bands and that concludes that the data comes from a population that is normally distributed.
02:28
So next we want to do the mean and standard deviation.
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So the mean is found by doing the following formula.
02:50
So you just plug in your numbers over 40 so that would give you 48, 895 over 40 and that's 1, 2, 4, 7 .4.
03:51
So that would be the mean and then your standard deviation would be found by doing over n minus 1 square root.
04:29
So now you would just put in your numbers 62, 635, 301 minus 4, 9, 8, 9, 5 over 40 over 40 minus 1 and then that will give you 101 as your standard deviation.
05:09
So next we want to do draw a graph for the normal model.
05:44
So x is here and then we'll have 1, 2, 3, 4, 5, 1, 2, 3, 4.
05:53
So in order to find our inflection points, we would do the following equation or formula 1, 2, 4, 7 .4 minus 101 and then that would give you 1, 1, 4, 6 .4 and then we do it again, but this time plus so 1, 2, 4, 7 .4 plus 101.
06:32
1, 3, 4, 8, 8 .4.
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So we just put that onto our chart now.
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1, 1, 4, 6 .4.
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1, 1, 4, 6 .4.
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1, 2, 4, 7 .4.
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1, 3, 4, 8 .4.
07:02
So add some that and then next we will do the probability that an 18 ounce is randomly selected.
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So we would use the formula so subtract the 1000 for x, 1000 for x, 1, 2, 4, 7 .4 for y and then 1, 1, 8 for not y.
07:54
Anyway, so it would be p x greater than 1000 equals 1 minus p...