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AP Statistics Chapter 2 Test

Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
 

1. 

Using the standard normal distribution tables, what is the area under the standard normal curve corresponding to –0.5 < Z < 1.2?
a.
0.3085.
c.
0.5764.
b.
0.8849.
d.
0.2815.
 

2. 

The temperature at any random location in a kiln used in the manufacture of bricks is normally distributed with a mean of 1000 and a standard deviation of 50° F.
When glazed bricks are put in the oven, if the temperature is below 900°F they will miscolor. If the bricks are placed randomly throughout the kiln, the proportion of glazed bricks that miscolor is closest to
a.
49.38%.
c.
47.72%.
b.
2.28%.
d.
0.62%.
 

3. 

The distribution of actual weights of 8.0-ounce chocolate bars produced by a certain machine is normal with a mean of 8.1 ounces and a standard deviation of 0.1 ounces.
The proportion of chocolate bars weighing less than 8.0 ounces is
a.
0.500.
c.
0.341.
b.
0.159.
d.
0.841.
 

4. 

The distribution of actual weights of 8.0-ounce chocolate bars produced by a certain machine is normal with a mean of 8.1 ounces and a standard deviation of 0.1 ounces.
The proportion of chocolate bars weighing between 8.2 and 8.3 ounces is
a.
0.819
c.
0.477
b.
0.636
d.
0.136
 

5. 

Birthweights at a local hospital have a normal distribution with a mean of 110 ounces and a standard deviation of 15 ounces. The proportion of infants with birthweights between 125 ounces and 140 ounces is
a.
0.819
c.
0.477
b.
0.636
d.
0.136
 

6. 

The scores on a university examination are normally distributed with a mean of 62 and a standard deviation of 11. If the bottom 5% of students will fail the course, what is the lowest mark that a student can have and still be awarded a passing grade?
a.
62
c.
44
b.
57
d.
40
 

7. 

The time taken to prepare the envelopes to mail a weekly report to all executives in a company has a normal distribution with a mean of 35 minutes and a standard deviation of 2 minutes. On 95% of occasions the mailing preparation takes less than
a.
38.29 minutes
c.
35.25 minutes
b.
31.71 minutes
d.
34.75 minutes
 

8. 

A soft-drink machine can be regulated so that it discharges an average of m ounces per cup. If the ounces of fill are normally distributed with a standard deviation of 0.4 ounces, what value should m be set at so that 6-ounce cups will overflow only 2% of the time?
a.
6.82
c.
5.18
b.
6.00
d.
5.60
 

9. 

The weights of packets of cookies produced by a certain manufacturer have a normal distribution with a mean of 202 grams and a standard deviation of 3 grams. The weight that should be stamped on the packet so that only 1% of packets are underweight is
a.
209 grams
c.
202 grams
b.
195 grams
d.
Not enough information to tell
 

10. 

The distribution of actual weights of 8-ounce chocolate bars produced by a certain machine is normal with a mean of 8.1 ounces and a standard deviation of 0.1 ounces. What weight should be put on the chocolate bar wrappers so that only 1% of bars are underweight?
a.
7.77 ounces
c.
7.87 ounces
b.
8.33 ounces
d.
8.23 ounces
 

11. 

Which of the following four histograms would best be approximated by a normal distribution?
a.
ch2_test_files/i0120000.jpg
b.
ch2_test_files/i0120001.jpg
c.
ch2_test_files/i0120002.jpg
d.
ch2_test_files/i0120003.jpg
 

12. 

The heights of Americn men aged 18 to 24 are approximately normally distributed with mean 68 inches and standard deviation 2.5 inches.  Half of all young men are shorter than
a.
65.5 inches
d.
can't tell, because the median height is not given
b.
68 inches
e.
none of the above
c.
70.5 inches
 

13. 

The heights of Americn men aged 18 to 24 are approximately normally distributed with mean 68 inches and standard deviation 2.5 inches.  Only about 5% of young men have heights outside the range
a.
65.5 inches to 70.5 inches
d.
58 inches to 78 inches
b.
63 inches to 73 inches
e.
none of the above
c.
60.5 inches to 75.5 inches
 

14. 

The area under the standard normal curve corresponding to -0.3<Z<1.6 is
a.
0.3273
d.
0.9542
b.
0.4713
e.
None of the above
c.
0.5631
 

15. 

Suppose that sixteen-ounce bags of chocolate chip cookies are produced with an actual mean weight of 16.1 ounches and a standard deviaion of 0.1 ounce.  The percentage of bags that will contain between 16.0 and 16.1 ounces is
a.
10
d.
68
b.
16
e.
None of the above
c.
34
 

16. 

Suppose that sixteen-ounce bags of chocolate chip cookies are produced with an actual mean weight of 16.1 ounches and a standard deviaion of 0.1 ounce.  Approximately what percentage of bags will likely be underweight (i.e. less than 16 ounces)
a.
10
d.
64
b.
16
e.
None of the above
c.
32
 

17. 

Which statement is true for any density curve?
a.
The bars must be of equal widtth.
d.
One can use Table A (table of standard normal values) to find relative frequencies.
b.
It is symmetric.
e.
None of the above is correct.
c.
It must either steadily rise or steadily fall, since it cannot do both.
 

18. 

A company produces packets of soap powder labeled "Giant Size 32 Ounces."  The actual weight of soap powder in a box has a normal distribution with a mean of 33 oz. and a standard deviation of 0.8 oz.  What proportion of packets are underweight (i.e. weigh less than 32 oz.)?
a.
0.159
d.
0.841
b.
0.212
e.
0.115
c.
0.106
 

19. 

If the heights of 99.7% of American men are between 5'0" and 7'0", what is your estimate of the standard deviation of the height of American men?
a.
1"
d.
6"
b.
3"
e.
12"
c.
4"
 

20. 

The average yearly snowfall in Chillyville is normally distributed with a mean of 55 inches.  If the snowfall in Chillyville exceeds 60 inches in 15% of the years, what is the standard deviation?
a.
4.83 inches
d.
8.93 inches
b.
5.18 inches
e.
The standard deviation cannot be computed from the given information
c.
6.04 inches
 



 
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