Title: Appendix for Practice Exam 2015/2016: Statistics II for IB – UG
Appendix for Practice Exam 2015/2016: Statistics II for IB – UG

This appendix can be used when using Statistics II for IB 2015 – Practice Exam

 

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Practice exams Statistics II for International Business

Practice Exam 2016/2017: Statistics II for IB - UG

Practice Exam 2016/2017: Statistics II for IB - UG


Questions

Question 1

Which of the following statments is TRUE?

  1. Both a bar chart and a box&whiskers plot can be used to represent qualitative data.
  2. Scatter plots can be used to represent qualitative and quantitative data both:
  3. Quantitative data. can be represented on histograms or on a box&whiskers plot.
  4. On a box&whiskefs plot the box contains the proportion of those observations which are within one standard deviation of the mean.

Question 2

Which of the following statments is TRUE? The statistical power of a. test increases if (ceteris paribus)..

  1. the effect size decreases, the probability of type I error decreases or the sample size decreases
  2. the effect size increases, the probability of type I error increases or the sample size increases
  3. the effect size increases, the probability of type I error decreases or the sample size increases
  4. the effect size decreases, the probability of type I error increases or the sample size decreases

Question 3

Let α denote the probability of making a type I error and ß the probability of making a type II error. Which of the following statments is TRUE?

  1. The statistical power of a test equals to 1 — α.
  2. The probability of rejecting a true nuflhypothesis equals 1 — ß.
  3. The probability of rejecting a false nullhypothesis 15 also known as the statistical power of the test.
  4. The probability of not rejecting a false nullhypothesis equals to α.

Question 4

We calculated the Mahalanobis distance of all 28 metric variables and found that the largest value belongs to Oman With 2.20. What conclusions can be drawn?

  1. Based on the Mahalanobis distance measure no observations need to be removed from the dataset.
  2. Based on the Mahalanobis distance measure Oman should be removed from the dataset, and there might be other observations which should be removed.
  3. Based on the Mahalanobis distance measure Oman should not be removed from the dataset, but there could be extremely low values of the Mahalanobis distance measure which would justify removing other observations.
  4. No conclusion can be drawn because the sample size (n = 196)'is not big enough.

Question 5

Which test statistic is used to test for the heterosketasticity of the variance of a variable?

  1. Pearson
  2. Levene
  3. t—test
  4. Shapiro-Wifli

Question 6

Which of the followirig is the least critical statistical assumption of the multivariate regression analysis (MBA)?

  1. Multicollinearity
  2. Linearity
  3. Homoskedasticity
  4. Independence of errors

Question 7

What is the minimum number of observations per variabie so that the MBA is allowed?

  1. 5
  2. 10
  3. 15
  4. 100

Question 8

What is the goal of Ordinary Least Squares?

  1. To minimize the sum of squared parameter estimates.
  2. To estimate the
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Practice Exam 2015/2016: Statistics II for IB – UG

Practice Exam 2015/2016: Statistics II for IB – UG


Part 1 - Multiple choice questions

Question 1

Which of the following statements on type i and type II errors is correct?

  1. A type II error is the inability to reject a wrong null hypothesis.
  2. A type II error is the rejection of a true null hypothesis
  3. A type I error is the inability to reject a wrong null hypothesis.
  4. A type I error is the rejection of a true null hypothesis.

Question 2

Which kind of relation do we have between Type I and II errors?

  1. The probability of a Type II error increases as the probability of a Type i error increases.
  2. Type I and II errors are independent.
  3. The probability of a Type II error decreases as the probability ofa Type I error increases.
  4. Type I and II errors are directly proportional.

Question 3

Consider to choose among tests, in order to achieve a given power level. In other words, you have a target power for your test, which statement is correct?

  1. We cannot increase power by choosing a larger alpha level.
  2. Other things being equal, for a greater effect size we need a larger sample size to achieve the target power.
  3. We cannot increase power by choosing a larger sample size.
  4. A smaller alpha level typically requires a larger sample to achieve the target power.

Question 4

A scatter plot of number of teachers (T) and number of people with University degrees in Dutch cities (P) shows a positive relation. Which is the most likely explanation for this positive association?

  1. Teachers at any school always advise students to get a job requiring a University degree, so an increase in T is causing an increase in P.
  2. Larger cities tend to have both more teachers and more people with University degrees. We can then expect T and P to be increasing in the variable ”size of the city".
  3. Teaching is a common profession for Dutch people with a high income, so an increase in the number of people with University degree and a high income causes an increase in T.
  4. Dutch cities with higher incomes tend to have more teachers and more people going to the University. We then expect T and P to be increasing in the variable ”income". Therefore the causation between T and P is difficult to prove.

Question 5

Which ofthe following statements regarding scatterplots are correct?

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    Practice exams 2012/2013: Statistics II for IB - UG

    Practice exams 2012/2013: Statistics II for IB - UG

    Practice exams in pdf for the course: Statistics II (International Business, Groningen)

    • 2012 (one pdf for questions, one for answers)
    • 2013 (one pdf for questions, one for answers)
    • Extra practice quetions (one pdf for questions, one for answers)
    Statistics II: Summaries, Study Notes and Practice Exams - UG

    Statistics II: Summaries, Study Notes and Practice Exams - UG

    • This bundle contains Summaries, Study Notes and Practice Exams for the course Statistics II of the International Business (IB) Bachelor 2 at the University of Groningen.
    • For a complete overview of the summaries & study service offered by JoHo and the available printed summaries for this course, visit the Business & Economics worldwide: learn, study or share - Starting page
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    Practice Exam 2015/2016: Statistics II for IB – UG

    Practice Exam 2015/2016: Statistics II for IB – UG


    Part 1 - Multiple choice questions

    Question 1

    Which of the following statements on type i and type II errors is correct?

    1. A type II error is the inability to reject a wrong null hypothesis.
    2. A type II error is the rejection of a true null hypothesis
    3. A type I error is the inability to reject a wrong null hypothesis.
    4. A type I error is the rejection of a true null hypothesis.

    Question 2

    Which kind of relation do we have between Type I and II errors?

    1. The probability of a Type II error increases as the probability of a Type i error increases.
    2. Type I and II errors are independent.
    3. The probability of a Type II error decreases as the probability ofa Type I error increases.
    4. Type I and II errors are directly proportional.

    Question 3

    Consider to choose among tests, in order to achieve a given power level. In other words, you have a target power for your test, which statement is correct?

    1. We cannot increase power by choosing a larger alpha level.
    2. Other things being equal, for a greater effect size we need a larger sample size to achieve the target power.
    3. We cannot increase power by choosing a larger sample size.
    4. A smaller alpha level typically requires a larger sample to achieve the target power.

    Question 4

    A scatter plot of number of teachers (T) and number of people with University degrees in Dutch cities (P) shows a positive relation. Which is the most likely explanation for this positive association?

    1. Teachers at any school always advise students to get a job requiring a University degree, so an increase in T is causing an increase in P.
    2. Larger cities tend to have both more teachers and more people with University degrees. We can then expect T and P to be increasing in the variable ”size of the city".
    3. Teaching is a common profession for Dutch people with a high income, so an increase in the number of people with University degree and a high income causes an increase in T.
    4. Dutch cities with higher incomes tend to have more teachers and more people going to the University. We then expect T and P to be increasing in the variable ”income". Therefore the causation between T and P is difficult to prove.

    Question 5

    Which ofthe following statements regarding scatterplots are correct?

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