Question 1For a normal distribution with mean of 100 and a standard deviation of 12, find the number of standarddeviatio...

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For a normal distribution with mean of 100

April 14, 2018

Question 1
For a normal distribution with mean of 100 and a standard deviation of 12, find the number of standard
deviations the raw score 76 is from the mean.
Enter answer as a positive value rounded to nearest hundredth (two places after decimal).
Question 1 options:

Question 2
2

For a normal distribution with mean of 80 and a standard deviation of 8, find the number of standard
deviations the raw score 67 is from the mean.
Enter answer as a positive value rounded to nearest hundredth (two places after decimal).
Question 2 options:

Question 3
3

Question 3 options:
A normal distribution has a mean of 40 and a standard deviation of 5. 68% of the distribution (centered
about the mean) can be found between raw scores:
Enter answers rounded to nearest integer. Examples of correctly-entered responses:
–11

and

0

27

Question 4
4

Question 4 options:
A normal distribution has a mean of 5 and a standard deviation of 2. What proportion of the distribution is
above 3?
Click on link Normal Distribution Area Calculator to calculate answer
Enter answer rounded to the nearest ten-thousandth (4 places after decimal). Examples of correctly entered
responses:
0.0000

0.0076

0.1500

0.3000

0.5429

1.0000

Question 5
A normal distribution has a mean of 12 and a standard deviation of 3. What proportion of the distribution is
below 7?
Click on link Normal Distribution Area Calculator to calculate answer
Enter answer rounded to the nearest ten-thousandth (4 places after decimal). Examples of correctly entered
responses:
0.0000

0.0076

Question 6
6

Question 6 options:

0.1500

0.3000

0.5429

1.0000

A normal distribution of test scores has a mean of 38 and a standard deviation of 6. Everyone scoring at or
above the 80th percentile gets placed in an advanced class. What is the cutoff score to get into the class?
Click on link Inverse Normal Distribution Area Calculator to calculate answer
Enter answer rounded to the nearest hundredth (2 places after decimal). Examples of correctly entered responses:
0.84

12.03

20.50

76.18

100.00

Question 7
7

Question 7 options:
A normal distribution has a mean of 120 and a variance of 100. 35% of the area is below what number?
Click on link Inverse Normal Distribution Area Calculator to calculate answer
Enter answer rounded to the nearest hundredth (2 places after decimal). Examples of correctly entered responses:
0.84

12.03

20.50

76.18

100.00

Question 8
8

A normal distribution is said to be a standard normal distribution when:
Question 8 options:

A) its mean = 0 and its standard deviation = 1

B) its mean = 1 and its standard deviation = 0

C) its mean = its standard deviation, regardless of the value

D) its mean = 1 and its standard deviation = 1

Question 9
9

The "total area" under the "curve" (the "bell curve") of a standard normal distribution is ALWAYS equal to:
Question 9 options:

A) value of mean

B) value of one standard deviation

C) value of mean plus one std deviation

D) 1

Question 10
10

Question 10 options:
A normal distribution has a mean of 100 and a standard deviation of 10. What is the Z score that corresponds
with 78?
Enter answer rounded to nearest hundredth (two places after decimal) with "+" or "–" sign in front (no spaces
between sign and number value of answer). Examples of correctly entered responses:
+2.21 -3.10 -0.45

+1.00

Question 11
11

Question 11 options:
A normal distribution has a mean of 75 and a standard deviation of 15. What is the raw score that
corresponds with a Z score of 1.6?
Enter answer rounded to nearest hundredth (two places after decimal). Examples of correctly entered responses:
3.75

12.04

41.33

97.00

A normal distribution has a mean of 200 and a standard deviation of 25. What is the raw score that
corresponds with a Z score of –1.5?
Enter answer rounded to nearest hundredth (two places after decimal). Examples of correctly entered responses:
3.75

12.04

41.33

97.00

Question 12
12

Question 12 options:
A normal distribution has a mean of 200 and a standard deviation of 25. What is the raw score that
corresponds with a Z score of –1.5?
Enter answer rounded to nearest hundredth (two places after decimal). Examples of correctly entered responses:
3.75

12.04

41.33

97.00

Question 13
13

Question 13 options:
A normal distribution has a mean of 18 and a standard deviation of 5. Use the link Normal Distribution Area
Calculator to determine the proportion of the raw scores (area) below raw score of 6.
Enter answer rounded to nearest ten-thousandth (4 places after decimal). Examples of correctly entered responses:
0.0001

0.0034

0.0501

0.7849

1.0000

Question 14
14

Question 14 options:
Find the area under the standard normal curve from a Z score = – 2.5 to Z = 0. Use the link Normal
Distribution Area Calculator to determine the area.
Enter answer rounded to nearest ten-thousandth (4 places after decimal). Examples of correctly entered responses:
0.0001

0.0034

0.0501

0.7849

1.0000

Question 15
15

Question 15 options:
The original Stanford-Binet intelligence quotient tests measured a person's IQ using a normal distribution
with a mean of 100 and a standard deviation of 10.
a. What is the Z score that corresponds with a raw score of 122?

Enter answer rounded to nearest hundredth (two places after decimal) with "+" or "–" sign in front (no spaces
between sign and number value of answer). Examples of correctly entered responses:
+2.21 -3.10 -0.45

+1.00

b. Find the area under the standard normal curve from the mean to the raw score of 122. Use the link
Normal Distribution Area Calculator to determine the area.
Enter answer rounded to nearest ten-thousandth (4 places after decimal). Examples of correctly entered responses:
0.0001

0.0034

0.0501

0.7849

1.0000

Question 16
16

Question 16 options:
“Cut-It-Up” brand chain saws have an average service life of 120 months with a standard deviation of 15
months. Assuming a normal distribution, find the probability that a “Cut-It-Up” chain saw will last for more
than 140 months. Compute Z score and use the link Normal Distribution Area Calculator to compute the
corresponding probability (the "area under the curve").
Enter answer rounded to nearest ten-thousandth (4 places after decimal). Examples of correctly entered responses:
0.0001

0.0034

0.0501

View hint for Question 16
Question 17
17

Question 17 options:

0.7849

1.0000

The average healing time from a particular inpatient surgical procedure is 200 hours, with a standard
deviation of 20 hours. What percentage of the people having this surgical procedure will heal in 170 hours
or less? Compute Z score and use the link Normal Distribution Area Calculator to compute the corresponding
probability (the "area under the curve").
Remember: probability (as a decimal) x 100 = probability as a percentage.
Enter answer as a percentage rounded to nearest hundredth (2 places after decimal). Do NOT enter "%" sign with
answer. Examples of correctly entered responses:
0.00

0.70

3.12

37.05

100.00

Question 18
18

Which of the following statements are NOT true concerning the use of a normal distribution to approximate a
binomial distribution?
Question 18 options:

A) Binomial distributions are discrete probability distributions, while normal distributions

are continuous probability distributions

B) Approximation is adequate if, for n number of trials and probability of success ?, both

(n?) and (n)(1–?) are values greater than 10

C) All these distractor statements are true.

D) A normal distribution can be used to determine the exact probability of getting exactly 8

"heads" in 10 flips of a fair two-sided coin

Question 19

19

Question 19 options:
You decide to use the normal distribution to approximate the binomial distribution. You want to know the
probability of getting from 7 to 13 heads out of 20 flips of a fair, two – sided coin. Use ? = 0.5 (a coin flip is a
50-50 shot, right?).
a. Find the mean ? of the normal distribution
Enter answer rounded to the nearest hundredth (two places after decimal)

b. Find the standard deviation ? of the normal distribution
Enter answer rounded to nearest ten-thousandth (4 places after decimal). Examples of correctly entered responses:
0.0000

0.0103

0.2500

0.6751

1.0000

c. Using the mean and standard deviation you calculated, compute Z scores and use the link Normal
Distribution Area Calculator to compute the corresponding probability (the "area under the curve").
Enter answer rounded to nearest ten-thousandth (4 places after decimal). Examples of correctly entered responses:
0.0001

0.0034

0.0501

0.7849

1.0000










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