Practice exam B
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 CIRCLES, use the pencil) AND SIGNATURE
ON THE ANSWER FORM.
CHECK WHETHER YOU HAVE THE CORRECT 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
circle 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 B
Question 1
A researcher is interested in the percentage of the total lung capacity that an eighteen-year-old Dutch
person can exhale in one second; this percentage is an indication of the long function, where greater
values indicate better lung function. This percentage is determined in 30 eighteen-year-olds, and the
researcher observes that the mean percentage of total lung capacity exhaled in one second is equal to
86.69 in this group. The 30 eighteen-year-olds in this study are an example of a …
A sample proportion
B test statistic
C population
D sample
Question 2
A researcher is interested in the effects of two air-conditioning systems on carbon monoxide levels in
buildings. He randomly selects 10 buildings using one system and 10 buildings using the other system.
He then measures the level of carbon monoxide in each of the 20 buildings.
Is this carbon monoxide study an experimental or an observational study?
A The study is observational, as the air-conditioning systems were not assigned randomly to the
buildings.
B The study is observational, as the levels of carbon monoxide cannot be measured very
accurately.
C The study is experimental, as the level of carbon monoxide is a quantitative variable.
D The study is experimental, as the buildings were randomly selected.
Information to Questions 3, 4, and 5
The vitamin C content (mg per gram) in red peppers may be assumed to be normally distributed with
expected value 1.6 and standard deviation 0.25.
Question 3
Calculate the probability that exactly one red pepper in a random sample of five red peppers has a
vitamin C content higher than 1.8.
A 0.08
B 0.16
C 0.32
D 0.41
Question 4
Calculate the probability that the mean vitamin C content in 16 red peppers, which can be considered
as independent, is between 1.56 and 1.68.
A 0.0479
B 0.1891
C 0.6386
D 0.9948
Question 5
Thirty three percent of the red peppers have vitamins C contents higher than …
A 1.49
B 1.63
C 1.71
D 1.76
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 CIRCLES, use the pencil) AND SIGNATURE
ON THE ANSWER FORM.
CHECK WHETHER YOU HAVE THE CORRECT 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
circle 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 B
Question 1
A researcher is interested in the percentage of the total lung capacity that an eighteen-year-old Dutch
person can exhale in one second; this percentage is an indication of the long function, where greater
values indicate better lung function. This percentage is determined in 30 eighteen-year-olds, and the
researcher observes that the mean percentage of total lung capacity exhaled in one second is equal to
86.69 in this group. The 30 eighteen-year-olds in this study are an example of a …
A sample proportion
B test statistic
C population
D sample
Question 2
A researcher is interested in the effects of two air-conditioning systems on carbon monoxide levels in
buildings. He randomly selects 10 buildings using one system and 10 buildings using the other system.
He then measures the level of carbon monoxide in each of the 20 buildings.
Is this carbon monoxide study an experimental or an observational study?
A The study is observational, as the air-conditioning systems were not assigned randomly to the
buildings.
B The study is observational, as the levels of carbon monoxide cannot be measured very
accurately.
C The study is experimental, as the level of carbon monoxide is a quantitative variable.
D The study is experimental, as the buildings were randomly selected.
Information to Questions 3, 4, and 5
The vitamin C content (mg per gram) in red peppers may be assumed to be normally distributed with
expected value 1.6 and standard deviation 0.25.
Question 3
Calculate the probability that exactly one red pepper in a random sample of five red peppers has a
vitamin C content higher than 1.8.
A 0.08
B 0.16
C 0.32
D 0.41
Question 4
Calculate the probability that the mean vitamin C content in 16 red peppers, which can be considered
as independent, is between 1.56 and 1.68.
A 0.0479
B 0.1891
C 0.6386
D 0.9948
Question 5
Thirty three percent of the red peppers have vitamins C contents higher than …
A 1.49
B 1.63
C 1.71
D 1.76
