# It is quantitative since it can be used in calculation such as mean number of seat in all movie theaters by 56K74R

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```									Statistic          Test 1              March 25, 2011
Dr. Platte                                    Name: ________Key____________________________________

INSTRUCTIONS: Always use proper statistical notation! You may use Excel, your calculator and the formula sheet to
aid in your work. All results and pertinent work must be transferred to the test. Data for problems is on Z: drive in the file

1.   (6 points) Is the number of seats in a movie theater qualitative data or quantitative data? Explain!

It is quantitative since it can be used in calculation such as mean number of seat in all movie theaters.

2.   (6 points) A survey of 1353 American households found that 20% of the households own a computer. Identify the
population and the sample.

American Households is the population and 1353 of the households is the sample.

3.   (6 points) The distribution of blood types for 100 Americans is listed in the table. If one donor is selected at random,
find the probability of selecting a person with blood type A+ or A-. Just one probability is being asked for!

Blood
Type          O+        O-     A+     A-     B+     B_    AB+     AB-
Number         37         6     34      6      10     2     4       1

P(A or A+) = 40/100 =.4

4.   (6 points) Without performing any calculations, use the stem-and-leaf plots to determine which statement below is
accurate. Circle the correct statement.
A.   Data set (ii) has the greatest standard deviation.
B.   Data sets (i) and (ii) have the same range.
C.   Data sets (i) and (ii) have the same standard deviation.
D.   Data set (i) has the greatest standard deviation.

i)            Stem unit:          10                  ii)
Stem unit:              10

1     9                                                    3   9
2     58                                                   4   456
3     3377                                                 5   1359
4     25                                                   6   01
5     1

5.   (8 points) Use the standard normal distribution to find P(-2.25 < z < -0.27). = .3936 - .0122 = .3814

6.   (8 points) Find the area of the indicated region under the standard normal curve. P( z> -1.30) = .9032
7.          The Histogram below shows a sample of 49 heights in inches.

a)          (8 points) Without doing any calculations, just using the concept of mean which selection below is the most
reasonable estimate of the mean? Estimate is rounded to nearest inch. Circle your selection.

A) 57                 B) 59       C) 60   D) 62        E) 64

b)          (8 points) Without doing any calculations, just using the concept of standard deviation which selection below is the
most reasonable estimate of the standard deviation? Estimate is rounded to nearest inch. Circle your selection.

A) 14                 B) 10        C) 8         D) 4      E) 2

Heights
14                                                  13
12
12                                                              11
10
Frequency

8
8
6           5
4
2
0
52-54           55-57            58-60    61-63      64-66
Inches

8.        (10 points) A placement exam for entrance into a math class yields a mean of 80 and a standard deviation of 10.
The distribution of the scores is roughly bell-shaped. Use the Empirical Rule to find the percentage of scores that
lie between 70 and 90. Use the Empirical Rule to find the percentage of scores that lie between 60 and 80.
Percentage within one standard deviation of the mean is 68%.
Percentage within 2 standard deviations of the mean is 95%, due to the symmetry half of the 95% is between 60
and 80. The answer is 47.5%.

9.        (10 points) The heights (in inches) of 32 adult males are on the excel workbook for this test. Find the 5 number
summary.

On Wookbook!

10. (12 points) The test scores on a 40 point test for 40 students are in the excel workbook for this test. Construct a
frequency table and histogram using eight classes.

On Wookbook!

11. (12 points) Robert DeNiro has had acting roles in over 88 films. A sample of the lifetime gross income from 20 of
his movies are on the excel workbook for this test. Find the mean and standard deviation for this sample data set.
Based on this data how likely is it that his next film will have a lifetime gross of \$250,000,000 or more? Why?

On Wookbook!

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