AP Statistics: Section 2.2 B. Recall finding a z-score in section 2.1: z = ------------.
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Transcript of AP Statistics: Section 2.2 B. Recall finding a z-score in section 2.1: z = ------------.
![Page 1: AP Statistics: Section 2.2 B. Recall finding a z-score in section 2.1: z = ------------.](https://reader033.fdocuments.in/reader033/viewer/2022052318/5a4d1af57f8b9ab059980cca/html5/thumbnails/1.jpg)
AP Statistics: Section 2.2 B
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Recall finding a z-score in section 2.1:
z = ------------.
X
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We can use this formula to take any particular observation in a
Normal distribution and convert it to a z-score. This new distribution
of z-scores is called the
____________________________. ondistributi Normal standard
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Its mean will be _____ and its standard deviation will be _____.
01
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The notation for the standard Normal distribution is ______.)1,0(N
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The standard Normal distribution is a density curve and thus the area under the curve must equal ____1
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Any question about the proportion of observations in a particular
interval can be answered by finding the area under the curve.
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Turn to Table A in the front of your text.
Note that table A always gives the area to the left of
the z-score.
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0934.9066.1
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Calculator:2nd VARS (DISTR)2:normalcdf(ENTERnormalcdf(lower limit, upper limit)
normalcdf(1.32, 10000)
0934.
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5570.2843.8413.
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normalcdf(-.57, 1)
5570.
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Normal Distribution Calculations
We can answer any question about proportions of observations in a
Normal distribution by ____________ and then using the
Standard Normal table. standardizing
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33.230
170240
z
0099.9901.1
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Calculator:
normalcdf(240,10000,
normalcdf(240, 10000, 170, 30)
),
0098.
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67.30
170150
z 67.
30170190
z
4972.2514.7486.
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Calculator:
normalcdf(150,190,170,30)
4950.
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67.
3017067.
x
9.149x
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Calculator:2nd VARS (DISTR)3: invNorm(ENTERinvNorm(area to left,
invNorm(.25, 170, 30)
),
765.149x
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84.
3017084.
x
2.195x
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invNorm(.8, 170, 30)
249.195x