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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 ____________________________.
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AP Statistics: Section 2.2 B
Recall finding a z-score in section 2.1:
z = ------------.
X
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
Its mean will be _____ and its standard deviation will be _____.
01
The notation for the standard Normal distribution is ______.)1,0(N
The standard Normal distribution is a density curve and thus the area under the curve must equal ____1
Any question about the proportion of observations in a particular
interval can be answered by finding the area under the curve.
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.
0934.9066.1
Calculator:2nd VARS (DISTR)2:normalcdf(ENTERnormalcdf(lower limit, upper limit)
normalcdf(1.32, 10000)
0934.
5570.2843.8413.
normalcdf(-.57, 1)
5570.
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
33.230
170240
z
0099.9901.1
Calculator:
normalcdf(240,10000,
normalcdf(240, 10000, 170, 30)
),
0098.
67.30
170150
z 67.
30170190
z
4972.2514.7486.
Calculator:
normalcdf(150,190,170,30)
4950.
67.
3017067.
x
9.149x
Calculator:2nd VARS (DISTR)3: invNorm(ENTERinvNorm(area to left,
invNorm(.25, 170, 30)
),
765.149x
84.
3017084.
x
2.195x
invNorm(.8, 170, 30)
249.195x