Download 300 Chapter 2 Practice Test Mr. Coppock Below are the tar amounts

NAME ______________________________________
Prob & Stat - 300
Chapter 2 Practice Test
Mr. Coppock
Below are the tar amounts in certain brands of cigarettes.
American Filter
Camel
Carlton
Chelsea
Hi-Lite
Lucky Strike
Marlboro
Newport
Old Gold
Players
Richland
Silva Thins
Triumph
Vantage
Winston
16
16
1
10
14
13
16
11
18
13
17
12
5
8
16
Benson &Hedges
Capri
Cartier Vendome
GPC Approved
Kent
Malibu
Merit
Now
Pall Mall
Raleigh
Rite
Tareyton
True
Viceroy
16
9
8
16
13
15
9
2
15
15
9
14
6
18
∑ x = 351
1.)
Refer to the data above to construct a frequency table and a relative freq. table (make the class
widths 1-3, 4-6, etc.
2.)
Create a histogram for the data and identify the shape of the data.
3.)
Find a.) x, median, mode, range, interquartile range, and standard deviation.
4.)
Find the actual percentage of the data that falls within 1 standard deviation of the mean.
5.)
For the same data set find
a.) the percentile for Lucky Strike
b.) the percentile for Old Gold
c.) P31
d.) P45
e.) the cigarette that would represent the 30th percentile
f.) the z-score for a Camel cigarette
g.) the z-score for a Triumph.
6.)
Find the 5 number summary and then draw a boxplot.
4.)
Having two different geometry classes, I decided to give a different version of my chapter 3
test to each class. Period A the mean was 76 and the SD was 4, while period B the mean was 72 and
the SD was 15. 2 students from different classes were arguing whose score was better. Derek from
period A got an 81 while Paul from period B got an 83. Whose grade was better? Explain your
answer with appropriate calculations.
5.)
After analyzing a set of data that represented the number of colleges that seniors applied to, I
found that the mean number was 7, and the standard deviation was 2. Assuming the data is bell shaped
and not skewed answer the following questions?
a.)
What percentage of seniors applied to more than 7 colleges?
b.)
Approximately what percentage of seniors applied to between 5 and 9 colleges?
c.)
Approximately what percentage of seniors applied to between 3 and 7 colleges?
d.)
Approximately what percentage of seniors applied to between 1 and 9 colleges?
e.)
Approximately what percentage of seniors applied to less than 3 colleges?
6.)
Find the grade point average of the following student:
Credits
Class
Grade
2
Film Comedy
A
4
Chemistry
C+
4
Spanish Literature
C
3
Philosophy
B+
3
Creative Writing
A
Grading Scale
A = 4.0 B+ = 3.5
B = 3.0 C+ = 2.5
C = 2.0 D+ = 1.5
D = 1.0
F = 0.0
7.) Scores on a test of depth perception are normally distributed and have a mean of 200 and a
standard deviation of 40.
a.)
b.)
c.)
d.)
e.)
Is a score of 260 unusually high? Explain.
What is the z-score that corresponds to 185?
What would be the mean if 20 points were added to every score?
What would be the standard deviation if 20 points were added to every score?
If you had a z-score of -1.25, what would be your score on the depth perception test?
8.)
a.)
b.)
c.)
d.)
e.)
f.)
g.)
h.)
True/False
The standard deviation is a measure of center.
The IQR is Q3-Q1.
Q2 = Median
If a distribution is skewed to the right, the mean would be greater than the median
In a symmetric distribution, the mean is approximately equal to the median.
In a uniform distribution, the mean is greater than the median.
The range, IQR and standard deviation are always greater than or equal to 0.
In a skewed distribution, 68% of the data falls within 1 standard deviation of the mean.
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