the_govner
Don Juan
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I beg you! She asked for my help and I couldn't say i'm a mathematical idiot...HELP!
The ONE School
Statistics
Final Examination
Date of Release: January 14, 2008 – Monday
Deadline: January 16, 2008 – Wednesday
PART I -
General Directions:
You are about to start your business or expand an existing one. You will conduct a feasibility study. Describe your business using the parameters below. The questions that follow pertain to the descriptors (answers) that you provide.
Business Name: Manila Matchmakers
Target Market: singles
age group - 18-30
economic status – upper class individuals
gender – female
geographic location – Metro Manila
Valid Sample Size: 35
Data to be gathered:
Stacy – price range of shorts buyers are willing to pay for (in pesos)
Helena – number of minutes in a day a college student spends on reading magazines
Nica – ages of men who visits the hospital (in years)
Derrick – ages of women of prefer wakeboarding to other sports (in years)
Robbie – number of days in a year a businessman spends in a hotel
Juancho – amount to spare on food after work and before dinner (before going home; in pesos)
Mark – sizes of sofa (in centimeters)
QUESTIONS:
For each data to be gathered provide at least TEN (10) values. Use these figures to create or determine the following –
a.frequency histogram
1)0 minutes – 9
2)5 minutes – 1
3)10 minutes – 6
4)20 minutes – 4
5)30 minutes – 3
6)40 minutes – 8
7)50 minutes – 1
8)60 minutes – 1
9)90 minutes – 1
10)100 minutes - 1
b.central tendency
1)mean ( 9*0 + 1*5 + 6*10 + 4*20 + 3*30 + 8*40 + 1*50 + 1*60 + 1*90 +100*1) = 855/35 = 24.43
2)median (100/2 = 50)
3)mode (0)
c.measure of dispersion
1)IQR
i.(0- 3.5^2) = 12.25
ii.(5 – 3.5^2) = 2.25
iii.(10 – 3.5^2) = 42.25
iv.(20 – 3.5^2) = 272.25
v.(30 – 3.5^2) = 702.25
vi.(40 - 3.5^2) = 1332.25
vii. (50 - 3.5^2) =
viii.(60 - 3.5^2) =
ix. (90 - 3.5^2) =
x.(100 - 3.5^2) =
‘
2)standard deviation
Please show complete solutions and final answers boxed or in table.
PART II –
General Directions: On your answer sheet, write the letter (in capital form) of the best answer after each number.
Questions 1-4 refer to the following:
The following table classified eighty-two children by age and favorite meals at MacDonald restaurant.
Age (years)
6 or below
7 – 12
13 – 15
Total
Restaurant
Hamburger
6
12
16
34
Chicken Nuggets
9
13
11
33
Filet’o’fish
2
5
8
15
TOTAL
17
30
35
82
Assume a child is randomly selected.
1. Find the probability of being “7-12” years old AND preferring “chicken nuggets”
A. 13/82 B. 28/82 C. 33/82 D. 13/61
2. Find the probability of being “13-15” years old OR preferring “Filet’o’fish”.
A. 8/82 B. 50/82 C. 8/51 D. 42/82
3. Find the probability of “preferring Hamburger” given that the randomly selected child is 13-15 years old.
A. 16/82 B. 16/35 C. 16/34 D. 16/70
4. The events “preferring Hamburger” and “being 13-15 years old” are:
A. Mutually Exclusive B. Independent C. Neither A nor B D. Both A & B
5. E and F are two events such P(E) = 0.60, P(E or F) = 0.90 and P(E and F) = 0.50. Find P(F).
A. 0.80 B. 0.30 C. 0.40 D. 0.10
Questions 6-7 refer to the following:
The probability that a randomly chosen adult resident of Bayview city owns a boat is 0.16. The probability that a randomly chosen adult rents an apartment is 0.30. The probability that the adult owns a boat given he/she rents an apartment is 0.20.
6. Find the probability that a randomly chosen adult rents an apartment and owns a boat is:
A. 0.048 B. 0.24 C. 0.10 D. 0.06
7. Possessing a boat and renting an apartment are:
A. independent events
B. mutually exclusive
C. both independent and mutually exclusive
D. neither independent nor mutually exclusive
Questions 8 - 9 refer to the following:
A bag contains 4 red marbles and 5 blue marbles. Two marbles are randomly drawn without replacement.
8. Find the probability of the event “The first marble is red and the second is blue.”
A. 20/81 B. 20/72 C. 4/12 D. 4/9
9. Find the probability that both marbles are red.
A. 16/81 B. 7/81 C. 12/ 72 D. 8/72
10. Approximately 70% of U. S. adults had at least one pet as a child. We randomly survey 60 U. S. adults. We are interested in the number that had at least one pet as a child. The probability that at least 3 adults had at least one pet as a child means:
A. P(X=0)+P(X=1)+P(X=2)
B. P(X=0)+P(X=1)+P(X=2)+P(X=3)
C. P(X=4)+P(X=5)+P(X=6)+ ... + P(X = 60)
D. P(X=3)+P(X=4)+P(X=5)+ ... + P(X = 60)
Questions 11 & 12 refer to the following:
A plumber has determined the possible number of house calls to be made each day, and their related probabilities:
x =# house calls
P ( x )
0
0.10
1
0.40
2
0.25
3
0.15
4
0.10
11. What is the probability that he makes at least 1, but no more than 3 house calls in a day?
A. 0.65 B. 0.80 C. 0.50 D. 0.40
12. If the plumber charges a flat fee of $ 40 for a house call, the expected daily income is:
A. $ 70 B. $ 175 C. $ 400 D. $ 1. 75
Questions 13 – 14 refer to the following:
Assume the statistics final is a multiple-choice exam with 50 questions, each question having 5 choices, only one of which is correct. Assume you answer all questions at random (guessing).
13. The expected number of questions you would get correct would be:
A. 5 B. 10 C. 40 D. 45
14. Based upon numerical calculations, would you be surprised if a person got exactly half of the questions correct?
A. yes, because it is impossible B. yes, because the probability is almost 0
C. no, because the probability is 0.50 D. no, because it is the most likely probability
15. Ninety-four percent of California community college transfers feel that their community college adequately prepared them to handle upper-division coursework at their transfer university. We randomly survey 14 California community college transfers. We are interested in the number that feel that their community college adequately prepared them to handle upper division coursework at their transfer university. List the values that X may take on.
A. 1, 2, 3, ..., 14 B. 1, 2, 3, ..., 94 C. 0, 1, 2, ..., 14 D. 0, 1, 2, ..., 94
~ END OF EXAMINATION ~
The answers are due on Wednesday, January 16. If you submit hand-written answers, it must be turned in by 4pm at The ONE School. If you submit through e-mail, I should receive it no later than 11pm at kating14@yahoo.com and you should copy Tracey.
The ONE School
Statistics
Final Examination
Date of Release: January 14, 2008 – Monday
Deadline: January 16, 2008 – Wednesday
PART I -
General Directions:
You are about to start your business or expand an existing one. You will conduct a feasibility study. Describe your business using the parameters below. The questions that follow pertain to the descriptors (answers) that you provide.
Business Name: Manila Matchmakers
Target Market: singles
age group - 18-30
economic status – upper class individuals
gender – female
geographic location – Metro Manila
Valid Sample Size: 35
Data to be gathered:
Stacy – price range of shorts buyers are willing to pay for (in pesos)
Helena – number of minutes in a day a college student spends on reading magazines
Nica – ages of men who visits the hospital (in years)
Derrick – ages of women of prefer wakeboarding to other sports (in years)
Robbie – number of days in a year a businessman spends in a hotel
Juancho – amount to spare on food after work and before dinner (before going home; in pesos)
Mark – sizes of sofa (in centimeters)
QUESTIONS:
For each data to be gathered provide at least TEN (10) values. Use these figures to create or determine the following –
a.frequency histogram
1)0 minutes – 9
2)5 minutes – 1
3)10 minutes – 6
4)20 minutes – 4
5)30 minutes – 3
6)40 minutes – 8
7)50 minutes – 1
8)60 minutes – 1
9)90 minutes – 1
10)100 minutes - 1
b.central tendency
1)mean ( 9*0 + 1*5 + 6*10 + 4*20 + 3*30 + 8*40 + 1*50 + 1*60 + 1*90 +100*1) = 855/35 = 24.43
2)median (100/2 = 50)
3)mode (0)
c.measure of dispersion
1)IQR
i.(0- 3.5^2) = 12.25
ii.(5 – 3.5^2) = 2.25
iii.(10 – 3.5^2) = 42.25
iv.(20 – 3.5^2) = 272.25
v.(30 – 3.5^2) = 702.25
vi.(40 - 3.5^2) = 1332.25
vii. (50 - 3.5^2) =
viii.(60 - 3.5^2) =
ix. (90 - 3.5^2) =
x.(100 - 3.5^2) =
‘
2)standard deviation
Please show complete solutions and final answers boxed or in table.
PART II –
General Directions: On your answer sheet, write the letter (in capital form) of the best answer after each number.
Questions 1-4 refer to the following:
The following table classified eighty-two children by age and favorite meals at MacDonald restaurant.
Age (years)
6 or below
7 – 12
13 – 15
Total
Restaurant
Hamburger
6
12
16
34
Chicken Nuggets
9
13
11
33
Filet’o’fish
2
5
8
15
TOTAL
17
30
35
82
Assume a child is randomly selected.
1. Find the probability of being “7-12” years old AND preferring “chicken nuggets”
A. 13/82 B. 28/82 C. 33/82 D. 13/61
2. Find the probability of being “13-15” years old OR preferring “Filet’o’fish”.
A. 8/82 B. 50/82 C. 8/51 D. 42/82
3. Find the probability of “preferring Hamburger” given that the randomly selected child is 13-15 years old.
A. 16/82 B. 16/35 C. 16/34 D. 16/70
4. The events “preferring Hamburger” and “being 13-15 years old” are:
A. Mutually Exclusive B. Independent C. Neither A nor B D. Both A & B
5. E and F are two events such P(E) = 0.60, P(E or F) = 0.90 and P(E and F) = 0.50. Find P(F).
A. 0.80 B. 0.30 C. 0.40 D. 0.10
Questions 6-7 refer to the following:
The probability that a randomly chosen adult resident of Bayview city owns a boat is 0.16. The probability that a randomly chosen adult rents an apartment is 0.30. The probability that the adult owns a boat given he/she rents an apartment is 0.20.
6. Find the probability that a randomly chosen adult rents an apartment and owns a boat is:
A. 0.048 B. 0.24 C. 0.10 D. 0.06
7. Possessing a boat and renting an apartment are:
A. independent events
B. mutually exclusive
C. both independent and mutually exclusive
D. neither independent nor mutually exclusive
Questions 8 - 9 refer to the following:
A bag contains 4 red marbles and 5 blue marbles. Two marbles are randomly drawn without replacement.
8. Find the probability of the event “The first marble is red and the second is blue.”
A. 20/81 B. 20/72 C. 4/12 D. 4/9
9. Find the probability that both marbles are red.
A. 16/81 B. 7/81 C. 12/ 72 D. 8/72
10. Approximately 70% of U. S. adults had at least one pet as a child. We randomly survey 60 U. S. adults. We are interested in the number that had at least one pet as a child. The probability that at least 3 adults had at least one pet as a child means:
A. P(X=0)+P(X=1)+P(X=2)
B. P(X=0)+P(X=1)+P(X=2)+P(X=3)
C. P(X=4)+P(X=5)+P(X=6)+ ... + P(X = 60)
D. P(X=3)+P(X=4)+P(X=5)+ ... + P(X = 60)
Questions 11 & 12 refer to the following:
A plumber has determined the possible number of house calls to be made each day, and their related probabilities:
x =# house calls
P ( x )
0
0.10
1
0.40
2
0.25
3
0.15
4
0.10
11. What is the probability that he makes at least 1, but no more than 3 house calls in a day?
A. 0.65 B. 0.80 C. 0.50 D. 0.40
12. If the plumber charges a flat fee of $ 40 for a house call, the expected daily income is:
A. $ 70 B. $ 175 C. $ 400 D. $ 1. 75
Questions 13 – 14 refer to the following:
Assume the statistics final is a multiple-choice exam with 50 questions, each question having 5 choices, only one of which is correct. Assume you answer all questions at random (guessing).
13. The expected number of questions you would get correct would be:
A. 5 B. 10 C. 40 D. 45
14. Based upon numerical calculations, would you be surprised if a person got exactly half of the questions correct?
A. yes, because it is impossible B. yes, because the probability is almost 0
C. no, because the probability is 0.50 D. no, because it is the most likely probability
15. Ninety-four percent of California community college transfers feel that their community college adequately prepared them to handle upper-division coursework at their transfer university. We randomly survey 14 California community college transfers. We are interested in the number that feel that their community college adequately prepared them to handle upper division coursework at their transfer university. List the values that X may take on.
A. 1, 2, 3, ..., 14 B. 1, 2, 3, ..., 94 C. 0, 1, 2, ..., 14 D. 0, 1, 2, ..., 94
~ END OF EXAMINATION ~
The answers are due on Wednesday, January 16. If you submit hand-written answers, it must be turned in by 4pm at The ONE School. If you submit through e-mail, I should receive it no later than 11pm at kating14@yahoo.com and you should copy Tracey.
