AnswersCommon Core Algebra II - MA3111 B-ICApplications with Standard Normal Distribution

Applications with Standard Normal Distribution Answers

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What is the approximate area of the shaded region under the standard normal curve below? Use the portion of the standard normal table to help answer the question.zProbability0.000.50001.000.84132.000.97723.000.9987

Question illustration
A
0.16
B
0.68
C
0.82
D
0.84
2
Free Preview

What is the approximate area of the shaded region under the standard normal curve below? Use the portion of the standard normal table given to help answer the question. zProbability0.000.50001.000.84132.000.97723.000.9987

Question illustration
A
0.02
B
0.14
C
0.34
D
0.84
3

If a data value in a normal distribution has a negative z-score, which of the following must be true?

A
The data value must be negative.
B
The data value must be positive.
C
The data value must be less than the mean.
D
The data value must be greater than the mean.
4

For a standard normal distribution, if , what is the value of ?

Question illustration
A
0.2116
B
0.2884
C
0.7116
D
0.7884
5

For a standard normal distribution, find the approximate value of . Use the portion of the standard normal table below to help answer the question.zProbability0.000.50000.250.59871.000.84131.250.89441.500.93321.750.9599

Question illustration
A
11%
B
39%
C
61%
D
89%
6

Which of the following probabilities is equal to approximately 0.2957? Use the portion of the standard normal table below to help answer the question.zProbability0.000.50000.250.59870.500.69150.750.77341.000.84131.250.89441.500.93321.750.9599

A
P (negative 1.25 less-than-or-equal-to z less-than-or-equal-to 0.25)
Option A
B
P (negative 1.25 less-than-or-equal-to z less-than-or-equal-to 0.75)
Option B
C
P (0.25 less-than-or-equal-to z less-than-or-equal-to 1.25)
Option C
D
P (0.75 less-than-or-equal-to z less-than-or-equal-to 1.25)
Option D
7

For a standard normal distribution, find the approximate value of . Use the portion of the standard normal table below to help answer the question.zProbability0.000.50000.220.58710.320.62550.420.66280.440.67000.640.73890.840.79951.000.8413

Question illustration
A
16%
B
34%
C
66%
D
84%
8

Which of the following statements is equivalent to ?

Question illustration
A
P (z greater-than-or-equal-to negative 1.7)
Option A
B
1 minus P (z greater-than-or-equal-to negative 1.7)
Option B
C
P (z less-than-or-equal-to 1.7)
Option C
D
1 minus P (z less-than-or-equal-to 1.7)
Option D
9

For a standard normal distribution, which of the following variables always equals 0?

A
Mu
Option A
B
Sigma
Option B
C
x
D
z
10

What is the approximate area of the unshaded region under the standard normal curve below? Use the portion of the standard normal table given to help answer the question. z Probability0.000.50001.000.84132.000.97723.000.9987

Question illustration
A
0.02
B
0.16
C
0.18
D
0.82

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