Practice exam A
WAGENINGEN UNIVERSITY
DEPARTMENT MAT
Examination Statistics 1 (MAT-15303)
START BY FILLING IN YOUR SURNAME, INITIALS, REGISTRATION NUMBER (IN
DIGITS AS WELL AS BY BLACKENING THE SPHERES, use the pencil) AND SIGNATURE
ON THE ANSWER FORM.
CHECK WHETHER YOU HAVE THE RIGHT VERSION OF THE ANSWER FORM, SO
VERSION A or B.
Instructions:
- The examination consists of 25 multiple-choice questions.
- For all questions exactly one of the four given answers is correct.
Fill in your answers by using the pencil. Each question with none or more than one blackened
sphere will be assessed as incorrect.
- Only the following items may be on your table:
The O&L textbook, the lecture notes, a (graphing) calculator, a hand-written (by yourself) summary
of not more than one double-sided A4 sheet of paper and your student pass. A mobile phone is not
allowed!
- At the end of the examination hand over your answer form, the exam questions and the
pencil to a supervisor.
- Each question carries the same weight for the final mark. The mark of the exam is corrected for
guessing. The number of correct answers needed to pass the examination will be determined by the
examiners after the examination.
- If in the two preceding years you got a pass for the final assignment of the computer practicals, the
mark of the examination will be increased by a bonus of 0.5 point (this bonus is already included in
the final mark; maximum 10).
- The answers to the examination questions will be available on Blackboard shortly
(http://blackboard.wur.nl at MAT-15303).
- Inspection
Opportunities to inspect your marked work will be announced on Blackboard.
, Practice exam A
Information to questions 1 and 2
To study the number of visitors to a recreation area per day, the area’s manager records variables on
18 consecutive days, including:
type of weather (0 = sunny, 1 = slightly cloudy, 2 = heavily cloudy, 3 = rainy) .
Question 1
The variable ‘type of weather’ is …
A qualitative, nominal.
B qualitative, ordinal.
C quantitative, discrete.
D quantitative, continuous.
Question 2
Which of the following statements is correct?
A The study is an experimental one.
B The units in this study are the days.
C The population in this study consists of ‘all recreation areas’.
D None of the options A, B, and C is correct.
Question 3
A study of an unknown probability π uses H0: π = 0.40 as null hypothesis and Ha: π < 0.40 as
alternative hypothesis. Based on a sample of size n = 20, the value of π is estimated at 0.15.
Which of the following conclusions is correct?
A H0 is not rejected at = 0.10.
B H0 is rejected at = 0.10 but not at = 0.05.
C H0 is rejected at = 0.05 but not at = 0.025.
D H0 is rejected at = 0.025.
Information to Questions 4, 5, and 6
A survey has revealed that 45% of the students at a university read newspapers regularly and that 80%
of the students watch TV news regularly. It is also known that 30% of the students read newspapers
and also watch TV news regularly.
Question 4
Calculate the probability that a randomly selected student at this university neither reads newspapers
nor watches TV news.
A 0
B 0.05
C 0.11
D 0.15
Question 5
Let A be the event that a student reads newspapers regularly.
Let B be the event that a student watches TV news regularly.
Which of the following statements is correct?
A Events A and B are neither mutually exclusive (disjoint) nor independent.
B Events A and B are not mutually exclusive (disjoint), but they are independent.
C Events A and B are mutually exclusive (disjoint) but not independent.
D Events A and B are mutually exclusive (disjoint) and independent.
WAGENINGEN UNIVERSITY
DEPARTMENT MAT
Examination Statistics 1 (MAT-15303)
START BY FILLING IN YOUR SURNAME, INITIALS, REGISTRATION NUMBER (IN
DIGITS AS WELL AS BY BLACKENING THE SPHERES, use the pencil) AND SIGNATURE
ON THE ANSWER FORM.
CHECK WHETHER YOU HAVE THE RIGHT VERSION OF THE ANSWER FORM, SO
VERSION A or B.
Instructions:
- The examination consists of 25 multiple-choice questions.
- For all questions exactly one of the four given answers is correct.
Fill in your answers by using the pencil. Each question with none or more than one blackened
sphere will be assessed as incorrect.
- Only the following items may be on your table:
The O&L textbook, the lecture notes, a (graphing) calculator, a hand-written (by yourself) summary
of not more than one double-sided A4 sheet of paper and your student pass. A mobile phone is not
allowed!
- At the end of the examination hand over your answer form, the exam questions and the
pencil to a supervisor.
- Each question carries the same weight for the final mark. The mark of the exam is corrected for
guessing. The number of correct answers needed to pass the examination will be determined by the
examiners after the examination.
- If in the two preceding years you got a pass for the final assignment of the computer practicals, the
mark of the examination will be increased by a bonus of 0.5 point (this bonus is already included in
the final mark; maximum 10).
- The answers to the examination questions will be available on Blackboard shortly
(http://blackboard.wur.nl at MAT-15303).
- Inspection
Opportunities to inspect your marked work will be announced on Blackboard.
, Practice exam A
Information to questions 1 and 2
To study the number of visitors to a recreation area per day, the area’s manager records variables on
18 consecutive days, including:
type of weather (0 = sunny, 1 = slightly cloudy, 2 = heavily cloudy, 3 = rainy) .
Question 1
The variable ‘type of weather’ is …
A qualitative, nominal.
B qualitative, ordinal.
C quantitative, discrete.
D quantitative, continuous.
Question 2
Which of the following statements is correct?
A The study is an experimental one.
B The units in this study are the days.
C The population in this study consists of ‘all recreation areas’.
D None of the options A, B, and C is correct.
Question 3
A study of an unknown probability π uses H0: π = 0.40 as null hypothesis and Ha: π < 0.40 as
alternative hypothesis. Based on a sample of size n = 20, the value of π is estimated at 0.15.
Which of the following conclusions is correct?
A H0 is not rejected at = 0.10.
B H0 is rejected at = 0.10 but not at = 0.05.
C H0 is rejected at = 0.05 but not at = 0.025.
D H0 is rejected at = 0.025.
Information to Questions 4, 5, and 6
A survey has revealed that 45% of the students at a university read newspapers regularly and that 80%
of the students watch TV news regularly. It is also known that 30% of the students read newspapers
and also watch TV news regularly.
Question 4
Calculate the probability that a randomly selected student at this university neither reads newspapers
nor watches TV news.
A 0
B 0.05
C 0.11
D 0.15
Question 5
Let A be the event that a student reads newspapers regularly.
Let B be the event that a student watches TV news regularly.
Which of the following statements is correct?
A Events A and B are neither mutually exclusive (disjoint) nor independent.
B Events A and B are not mutually exclusive (disjoint), but they are independent.
C Events A and B are mutually exclusive (disjoint) but not independent.
D Events A and B are mutually exclusive (disjoint) and independent.
