BA / 578 Midterm Exam I Summer II 2015

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Text Box: Midterm  Exam   v There are 4 parts:   Part A: True/ False (1-10)  Part B: Select the correct answer for the following questions (11-22)  Part C: Answer the following questions (23-30)  Part D: Work Problem (31-43) **All work must be shown step by step to get full credit point**  v Two different ways to submit your answer sheet  1. Scan your answer sheet and place it in ONE FILE at drop-box (preferable).   2. Use MS-Word and place it in a drop-box.  **Excel is not acceptable for this test  **Deadline: Monday, 27nd of July 2015  BY NOON  **Please check your work before submit your paper (Make sure it is readable and all pages are included)Online Exam I

Part A: True or False (1-10)

_______1. Original class interval frequencies can be obtained by multiplying the respective relative frequencies by the total number of observations

_______2.  Systematic, stratified and cluster sampling are not approximations to simple random sampling.

_______3.  is

_______4. The median always exists in a set of numerical data.

_______5.  means that A and B are mutually exclusive events.

_______6.  Mutually exclusive events imply that if one event occurs, the other cannot occur. An

event (e.g.,) and its complement are always mutually exclusive.

_______7.

_______8. When events are not mutually exclusive, the rule is:

 

_______9. Rule of addition when event are mutually exclusives:   

_______10. Events are independent when the occurrence of one event has no effect on the probability that another will occur.

Part B: Multiple Choice (11–22)

Please select the best answer for 11-15:

______ 11. For the data values, 20, 31, 45. 54, 38, 33, 22, 45, and 17, the mode is

a.       33              b. 34                c. 38                d. 45

 

______ 12. The simplest measure of dispersion is the

a. Standard deviation.             b. Variance.

c. Quartile deviation               d. Range

 

______ 13. The largest value in a set of data is 240, and the lowest value is 100. If the resulting frequency distribution is to have seven classes of equal width, what will be the class width?

a. 12                b. 7                  c. 5                  d. 20

 

______ 14. For the values 10, 20, 30, 40, and 50, the average absolute deviation from the mean is

a. 10                b. 15                c. 12                d. 14

 

______ 15. A simple random sample for five executives who went on a diet on their doctor’s order report the following numbers of pounds lost during their first two weeks on the diet: 5,8,3,7,8. What is the variance for this sample?

a. 4.7               b. 3.76             c. 1.94             d. 2.17

 

Questions 16-18 refer to the following frequency distribution:

The following information represents the number of tons of grain stored at the 60 grain elevators of central Soya, Inc.

 

 

____ 16. What is the relative frequency for the class 170-174?

  1. 16                    b. 36                c. 0.27                         d. 0.60

____ 17. What is the mean?

  1. 170.25             b. 172              c. 172.75                     d. 167

____ 18. What is the variance?

  1. 39.68               b. 12.33           c. 151.55                     d. 149.02

 

Class

Frequency

160-164

6

165-169

14

170-174

16

175-179

13

180-184

11

Total

60

 

 

Questions 19-22 refer to the following frequency distribution:

The following figures represent the weights of a sample of twelve women in the Richard Simmons Early Morning Exercise Class. Compute the requested statistics describing their weights (all in pounds).

157

136

103

128

117

123

123

135

145

129

127

130

 

  1. Mean
  1. 129.4
  1. 1553
  1. 15.53
  1. 123

 

  1. Median
  1. 123.0
  1. 128.5
  1. 129.5
  1. 130.0

 

  1. Mode
  1. 157
  1. 103

c.       123

  1. 130

 

  1. Sample Standard Deviation

a.       123

b.      12.98

  1. 183.60
  1. 13.55

 

 

Part C: Answer the following questions (23-30)

 

  1. What is the most important step of statistical study?

 

 

  1. Name 6 reasons why we use samples instead of an entire population.

1.

 

4.

 

2.

 

5.

 

3.

 

6.

 

 

 

  1. Name 3 types of statistical samples

1.

 

3.

 

2.

 

 

 

 

 

 

 

 

  1. Name 5 measurement that we use to measure of spread or variability.

1.

 

4.

 

2.

 

5.

 

3.

 

 

 

 

  1. Name 3 measurement that we use to measure of central location.

1.

 

3.

 

2.

 

 

 

 

  1. Name 4 types of random samples.

1.

 

3.

 

2.

 

4.

 

 

  1. What are stages for a statistical study?

1.

 

3.

 

2.

 

4.

 

 

30.  Why do we use regression? Please explain.

 

 

 

 

 

 

Part D: Must show all your work step by step in order to receive the full credit; Excel is not allowed. (31-43)

 

  1. The following random sample of annual salaries was recorded. Units are in thousands of dollars. Please use the following data to answer the questions (a-h).

 

18

15

13

20

22

17

11

14

3

16

 

 

 

 

 

 

 

 

 

 

a) Mean

 

 

 

 

 

 

 

 

b)   Median

c)Mode

 

 

 

 

 

 

d)  Range

 

e)Variance

 

 

 

 

 

 

 

 

 

 

 

 

 

f)    Standard deviation

 

 

 

g)    75th Percentile

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

h)  2nd Quartile

 

  1. Use the information from problem number 4 on page 2-34 to answer the following questions (a-h).

 

a) Mean

 

 

 

 

 

 

 

 

 

b)      Median

c)Mode

 

 

 

 

 

 

d)  Range

 

e)Variance

 

 

 

 

 

 

 

 

 

 

f)    Standard deviation

 

 

 

g)    95th Percentile

 

 

 

 

 

 

 

 

 

 

 

 

 

 

h)  3nd Quartile

 

  1. Please compute and fill the following table. Then answer the following questions (a-h). (**Using D-Method)

 

Age (in years)

Frequency

Mid-point (X)

Cf

d

df

f

20 - 24

10

 

 

-3

 

 

 

25 - 29

19

 

 

-2

 

 

 

30 - 34

27

 

 

-1

 

 

 

35 - 39

16

 

 

0

 

 

 

40 - 44

10

 

 

1

 

 

 

45 - 49

6

 

 

2

 

 

 

50 - 54

5

 

 

3

 

 

 

55 - 59

3

 

 

4

 

 

 

Total

 

 

 

 

 

 

 

 

a) Mean

 

 

 

 

 

 

b)      Median

c)Mode

 

 

 

 

d)  Range

 

e)Variance

 

 

 

 

 

 

 

f)    Standard deviation

 

 

 

g)    45th Percentile

 

 

 

 

 

 

 

 

 

 

h)  1st Quartile

 

  1. Use the information from problem number 2 on page 3-42 and fill in the given table then answer the following questions (a-f). (**Using D-Method)

Daily Sales

No. of Day

Mid-point (X)

Cf

d

df

f

 

 

 

 

-4

 

 

 

 

 

 

 

-3

 

 

 

 

 

 

 

-2

 

 

 

 

 

 

 

-1

 

 

 

 

 

 

 

0

 

 

 

 

 

 

 

1

 

 

 

 

 

 

 

2

 

 

 

 

 

 

 

3

 

 

 

 

 

 

 

4

 

 

 

Total

 

 

 

 

 

 

 

 

a) Mean

 

 

 

 

 

 

 

b)      Median

c)Variance

 

 

 

 

 

 

 

d)  Standard deviation

 

 

 

e)20th Percentile

 

 

 

 

 

 

 

 

 

 

 

 

 

 

f)    3rd Quartile

 

35.  Work on problem number 9 (a-b) on page 3-57

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

36.  Use the information from problem number 2 on page 4-10 and fill in the given table then answer the following questions (a-g).

Area

Y ($1000)

X ($1000)

XY

X2

Y2

Income Rate

Average Expense

New York

 

 

 

 

 

Los Angeles

 

 

 

 

 

Chicago

 

 

 

 

 

Boston

 

 

 

 

 

Seattle

 

 

 

 

 

San Francisco

 

 

 

 

 

Dallas

 

 

 

 

 

Total

 

 

 

 

 

a) Compute the value of

 

 

 

 

 

 

 

 

 

 

 

 

 

b)   Compute the value of

 

c)   Interpret the meaning of

 

 

 

 

 

 

 

d)   Find the regression equation.

 

e)   Compute the Coefficient of determination.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

f)    Predict the income rate for an area with an average expense of $75

 

g)   Interpret the Coefficient of determination

 

 

 

 

37.  Work on problem number 16 (part a -c) on page 5-15

 

a)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

b)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

c)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

38.  Work on problem number 5 (a-e) on page 6-17

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

39.  Work on problem number 14 (a-d) on page 6-19

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

40.  The following probability distribution table has been obtained for the number of customer arrivals during any given minute at a Beta Alpha supermarket. Please fill in the given table and answer the following questions (a-c).

     

Number
of Arrivals

Probability

Weighted
Value

Deviation

Weighted
Squared Deviation

0

0.2

 

 

 

1

0.2

 

 

 

2

0.3

 

 

 

3

0.1

 

 

 

4

0.2

 

 

 

Total

 

 

 

 

 

a)      Compute the expected value.

 

 

 

 

 

 

 

b)      Compute the variance.

 

 

 

 

 

 

c)      Compute the standard deviation

 

 

 

41.  Using the standard normal distribution tables, determine the following probabilities and please draw the shading the area with details.

 

Show your work

Please draw graph

a.

P

 
 

 

 

 

 

 

 

 


b.

P

 

 

 

 

 

 

c.

P

 

 

 

 

 

 

d.

P

 

 

 

 

 

 

 

 

e.

P

 

 

 

 

 

 

 

f.

P

 

 

 

 

 

 

 

 

42.  Work on problem number 1 (a-h) on page 7-23

 

a)

 

 

 

 

 

 

 

 

 

 

e)

 

 

 

b)

 

 

 

 

 

 

 

 

 

 

f)

c)

 

 

 

 

 

 

 

 

 

 

g)

d)

 

 

 

 

 

 

 

 

 

 

h)

43.  Work on problem number 12 (a-f) on page 7-24

 

a)

 

 

 

 

 

 

d)

 

 

 

b)

 

 

 

 

 

e)

c)

 

 

 

 

 

f)

 

 

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