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Unit 7 Test AFDA (normal distribution)

Total questions: 15

Worksheet time: 4hrs 45mins

Name
Class
Date
1.

A line up for tickets to a local concert has a mean waiting time of 20 minutes with a standard deviation of 4 minutes. What percentage of the people in line waited for more than 28 minutes?

a)

23%

b)

97.7%

c)

2.3%

d)

9.8%

2.

A line up for tickets to a local concert has a mean waiting time of 20 minutes with a standard deviation of 4 minutes. If 2000 ticket buyers were in line, how many of them would expect to wait less than 16 minutes?

a)

16

b)

320

c)

480

d)

1000

3.

On a recent math test, the mean score was 75 and the standard deviation was 5. Approximately what percent of the scores fall in the range of 65 to 80?

a)

68%

b)

75%

c)

82%

d)

95%

4.

In an Oreo factory, the mean mass of a cookie is given as 40g. For quality control, the standard deviation is 2g. If 10,000 cookies were produced, how many cookies are within the range of 38 to 42 grams?

a)

70

b)

683

c)

6,830

d)

9,500

5.

The speeds of cars on the highway have a mean of 65 mph with a standard deviation of 5 mph. What percentage of cars averaged less than 70 mph?

a)

16%

b)

34%

c)

68%

d)

84%

6.

The speeds of 8000 cars on the highway have a mean of 65 mph with a standard deviation of 5 mph. If a police car stopped cars that were going more than 75 mph, how many cars would they stop?

a)

2.3

b)

184

c)

900

d)

7816

7.

 z=xμσz=\frac{x-\mu}{\sigma}  What does  σ\sigma  stand for?

a)

raw score

b)

mean

c)

standard deviation

d)

z-score

8.

 z=xμσz=\frac{x-\mu}{\sigma}  What does x stand for?

a)

raw score

b)

mean

c)

standard deviation

d)

z-score

9.

In a normally distributed set of data, if the z score is 2, what can you say about the value?

a)

The value is below the mean

b)

It is 2 standard deviations to the left of the mean

c)

It is two standard deviations to the right the mean

d)

The standard deviation is 2

10.

What percent is within one central standard deviation of the mean?

a)

68%

b)

95%

c)

99.7%

d)

100%

11.
The mean life of a tire is 30,000 km. The standard deviation is 2000 km.

Then, 68% of all tires will have a life between ___________ km and __________ km.
a)
 28,000 km and 32,000 km.
b)
24,000 km and 34,000 km.
c)
26,000 km and 34,000 km.
d)
27,000 km and 31,000 km.
12.
The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.

About what percent of the products last between 12 and 15 days?
a)
68%
b)
34%
c)
16%
d)
2.5%
13.
If heights of 3rd graders follow a normal distribution with a mean of 52 inches and a standard deviation of 2.5 inches, what is the z score of a 3rd grader who is 47 inches tall? 
a)
-5
b)
-2
c)
2
d)
5
14.
The average waist size for teenage males is 29 inches with a standard deviation of 2 inches. 
If waist sizes are normally distributed, determine the z-score of a teenage male with a 33 inch waist.  
a)
2
b)
1
c)
-2
d)
-1
15.

Use the following information and the Empirical Rule to estimate the answer.


The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4.


There are 500 golf members at the Mathy Country Club. How many are younger than 34?

a)

16

b)

80

c)

100

d)

150