Exam: Management Research Methods 1 (MRM1)
Friday 13 January 2017, 09:00–12:00 (3 hours)
Question 1 Answers use three decimals
1a. (3) What does 92% stand for in “92% confidence interval of a population mean”?
1b. (3) In a hypothesis test, a p-value of 0.02 means that there is only probability of 0.02 that the
null hypothesis is correct. True or false? Explain.
1c. (3) Plot three scatter diagrams, each with a correlation coefficient of approximately zero:
. Each scatter diagram should contain at least twelve data points and the
three diagrams should be clearly different formations of points.
Question 2
2a. (4) Use Tukey’s method to draw, on your answer sheet, a very precise boxplot of the following
bi-modal distribution of 28 data points. Is this distribution called positively skewed or
negatively skewed or not skewed?
• •
• • •
• • • •
• • • • •
• • • • • • • • • • • • • •
There is also another variable, called Volumes, from which three new variables are generated:
The following output is made:
Statistics
Volumes VolumesSR VolumesLN VolumesX2
Valid 25 25 25 25
N
Missing 0 0 0 0
Mean 8.4844 2.6740 1.7959 133.8238
Std. Deviation 8.02594 1.17885 0.84025 268.86295
Skewness 2.048 1.199 0.110 3.123
Std. Error of Skewness 0.464 0.464 0.464 0.464
Kurtosis 4.218 1.367 0.060 10.149
Std. Error of Kurtosis 0.902 0.902 0.902 0.902
2b. (2) How can we conclude from this table that Volumes consist of only positive values?
“Is the population median of Volumes not equal to 8.5?” We will test this research question with a
significance level of 5%, by breaking the whole process down in three questions 2c), 2d) and 2e).
(NB. You might want to read all three questions before answering them)
2c. (6) First, motivate in detail why it is better to test the median of Volumes, instead of the mean.
2d. (6) Next, based on the given SPSS output above, decide which variable is best suited to be used
as the test variable of the t-test, and check whether using it will lead to a valid t-test.
2e. (6) Finally, test the research question. Complete the test, following the steps indicated on your
answer sheet. In your answer, you may use that the outcome of the test statistic t is .
1
Friday 13 January 2017, 09:00–12:00 (3 hours)
Question 1 Answers use three decimals
1a. (3) What does 92% stand for in “92% confidence interval of a population mean”?
1b. (3) In a hypothesis test, a p-value of 0.02 means that there is only probability of 0.02 that the
null hypothesis is correct. True or false? Explain.
1c. (3) Plot three scatter diagrams, each with a correlation coefficient of approximately zero:
. Each scatter diagram should contain at least twelve data points and the
three diagrams should be clearly different formations of points.
Question 2
2a. (4) Use Tukey’s method to draw, on your answer sheet, a very precise boxplot of the following
bi-modal distribution of 28 data points. Is this distribution called positively skewed or
negatively skewed or not skewed?
• •
• • •
• • • •
• • • • •
• • • • • • • • • • • • • •
There is also another variable, called Volumes, from which three new variables are generated:
The following output is made:
Statistics
Volumes VolumesSR VolumesLN VolumesX2
Valid 25 25 25 25
N
Missing 0 0 0 0
Mean 8.4844 2.6740 1.7959 133.8238
Std. Deviation 8.02594 1.17885 0.84025 268.86295
Skewness 2.048 1.199 0.110 3.123
Std. Error of Skewness 0.464 0.464 0.464 0.464
Kurtosis 4.218 1.367 0.060 10.149
Std. Error of Kurtosis 0.902 0.902 0.902 0.902
2b. (2) How can we conclude from this table that Volumes consist of only positive values?
“Is the population median of Volumes not equal to 8.5?” We will test this research question with a
significance level of 5%, by breaking the whole process down in three questions 2c), 2d) and 2e).
(NB. You might want to read all three questions before answering them)
2c. (6) First, motivate in detail why it is better to test the median of Volumes, instead of the mean.
2d. (6) Next, based on the given SPSS output above, decide which variable is best suited to be used
as the test variable of the t-test, and check whether using it will lead to a valid t-test.
2e. (6) Finally, test the research question. Complete the test, following the steps indicated on your
answer sheet. In your answer, you may use that the outcome of the test statistic t is .
1
