clickers: normal distributions

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Suppose Z ~ N(0, 1). Use the standard Normal table or
your calculator to find P(z  -2.30).
10
1.
2.
3.
4.
5.
0.0107
0.0099
0.9893
0.9901
0.9898
20%
1.
20%
20%
2.
3.
20%
4.
20%
5.
Suppose Z ~ N(0, 1). Use the standard normal table or
your calculator to determine P(-2.25 < z < 1.77).
10
1.
2.
3.
4.
5.
0.9494
0.9415
0.9477
0.9616
0.9432
20%
1.
20%
20%
2.
3.
20%
4.
20%
5.
What is the 50th percentile of the standard normal
distribution?
10
1.
2.
3.
4.
5.
z = 0.50
z = 0.0
z = -0.5
z = 1.0
z = -1.0
20%
1
20%
20%
2
3
20%
4
20%
5
What is the 67th percentile of the standard normal
distribution?
10
1.
2.
3.
4.
5.
z = 0.67
z = 1.67
z = 0.44
z = -0.44
z = -0.67
20%
1
20%
20%
2
3
20%
4
20%
5
The SAT scores of incoming NCSU freshmen can be
approximated by a normal model with mean 1775 and
standard deviation 135 (2400 point scale). What proportion
of incoming freshmen score between
2072?20% 20%
20% 1559
20%and20%
10
1.
2.
3.
4.
5.
0.0409
0.9313
0.6
0.9320
.513
1.
2.
3.
4.
5.
The SAT scores of incoming NCSU freshmen can be
approximated by a normal model with mean 1775 and
standard deviation 135 (2400 point scale). The scholarship
office will offer scholarships to students who score in the top
25%
25%
25%
25%
2.28%. What is the lowest score a student can achieve and be
eligible for a scholarship?
10
1.
2.
3.
4.
1505
2045
1908.47
1641.53
1
2
3.
4.
A box of Extreme Choco Loops cereal is marked “Net
Wt. 12 oz.” If the actual weight can be approximated
by a normal model with mean 12 oz. and standard
deviation 0.2 oz, what is the probability
20%
20% that
20% a box
20%
20%
weighs less than 12 oz?
10
1.
2.
3.
4.
5.
0.68
0.12
0.50
0.34
0.84
1.
2.
3.
4.
5.
A box of Extreme Choco Loops cereal is marked “Net
Wt. 12 oz.” If the actual weight can be approximated
by a normal model with mean 12 oz. and standard
deviation 0.2 oz, what weight will
exceeded
by 2.5%
20% be20%
20%
20%
20%
of the boxes?
10
1.
2.
3.
4.
5.
12.392 oz.
11.608
9.50 oz.
12.199 oz.
11.80 oz.
1
2.
3
4
5
The cholesterol levels of adult American women can be
approximated by a normal model with mean 188
mg/dL and a standard deviation of 24. Approximately
what cholesterol value is the cutoff
for20%the first
quartile
20%
20%
20%
20%
of adult American women cholesterol levels?
1.
2.
3.
4.
5.
164.15
171.8
204.19
182
194
10
1.
2.
3.
4
5
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