Applications with Standard Normal Distribution Answers
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A normal distribution of data has a mean of 15 and a standard deviation of 4. How many standard deviations from the mean is 25?
A
0.16B
0.4C
2.5D
6.25
4
About what percentage of the data lies within 2 standard deviations of the mean in a normal distribution?
A
47.5%B
68%C
95%D
99.7%5
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)
B
P (negative 1.25 less-than-or-equal-to z less-than-or-equal-to 0.75)
C
P (0.25 less-than-or-equal-to z less-than-or-equal-to 1.25)
D
P (0.75 less-than-or-equal-to z less-than-or-equal-to 1.25)
6
For a standard normal distribution, if , what is the value of ?
A
0.2116B
0.2884C
0.7116D
0.78847
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.
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