Statistics for International Business Coursera Quiz Answers

Get All Weeks Statistics for International Business Coursera Quiz Answers

Statistics for International Business Week 01 Quiz Answers

Quiz 1: Quiz: Categorical and Numerical Variables

Q1. Is the number of certain products sold in an accounting year a categorical or numerical variable?

[expand title=View Answer] Numerical- Discrete [/expand]

Q2. Is the time-share owner’s satisfaction level with the maintenance of the unit purchased (1: strongly disagree to 5: strongly agree) a numerical or categorical variable?

[expand title=View Answer] Categorical- Ordinal [/expand]

Q3. Is the number of renegotiations asked by the borrower of a revolving loan a numerical or categorical variable?

[expand title=View Answer] Numerical- Discrete[/expand]

Q4. Is gender a numerical or categorical variable?

[expand title=View Answer] Categorical- Nominal [/expand]

Quiz 2: End of Week Quiz

Q1. A sample is the complete set of all items of interest.

[expand title=View Answer] False [/expand]

Q2. In a random sampling every possible sample of a given size, n, has the same chance to be chosen.

[expand title=View Answer] True[/expand]

Q3. Statistics can be used to enable fully informed decisions.

[expand title=View Answer] True[/expand]

Q4. A parameter is a numerical measure that describes a specific characteristic of a sample.

[expand title=View Answer] False[/expand]

Q5. Descriptive statistics focus on graphical and numerical procedures that are used to summarize and process data.

[expand title=View Answer] True [/expand]

Statistics for International Business Week 02 Quiz Answers

Quiz 1: Summative Questions

Q1. Given the following dataset, which measure of central tendency would be most appropriate for describing the data?

[expand title=View Answer]
30 83 85 90 92

Median
[/expand]

Q2. What would the mean of the following data be?

30 83 85 90 92

The mean is calculated by adding up all the values and dividing by the number of values:

(30 + 83 + 85 + 90 + 92) / 5 = 76

Q3. Marketing research found that there was an increase in purchases over the Christmas period in 2015 compared to 2014. Using the data below, calculate the mean percentage increase in purchases.

20.2 4.1 6.9 8.0 4.7 3.9 7.8 8.3 9.2 5.3

Mean percentage increase:

[expand title=View Answer] (20.2 + 4.1 + 6.9 + 8.0 + 4.7 + 3.9 + 7.8 + 8.3 + 9.2 + 5.3) / 10 = 7.84% [/expand]

Q4. What is the mode of the following data?

0% 0% 8.1% 13.6% 19.4% 20.7% 10.0% 14.2%

NB- Please give the value only. You do not need to include the % sign in your answer.

[expand title=View Answer] The mode is 0%. [/expand]

Q5. Given a random sample of four (x, y) pairs of data points:

(3.1,9) (3.5,13) (5,15) (4.6,11)

What is the covariance?

[expand title=View Answer]
(3.1,9) (3.5,13) (5,15) (4.6,11)

To calculate the covariance:

Cov(x, y) = Σ[(x – x̄)(y – ȳ)] / (n – 1)

Where x̄ is the mean of x, ȳ is the mean of y, and n is the number of data points.

First, calculate the means:
x̄ = (3.1 + 3.5 + 5 + 4.6) / 4 = 4.3
ȳ = (9 + 13 + 15 + 11) / 4 = 12

Now, calculate the covariance:
Cov(x, y) = [(3.1 – 4.3)(9 – 12) + (3.5 – 4.3)(13 – 12) + (5 – 4.3)(15 – 12) + (4.6 – 4.3)(11 – 12)] / (4 – 1)
Cov(x, y) = [-3.21 + (-0.93) + 0.21 – 0.09] / 3
Cov(x, y) = -4.02 / 3 ≈ -1.34 (rounded to four decimal places)
[/expand]

Please give your answer to four decimal places.

Q6. Using the answer to the above, compute the sample correlation coefficient.

Please give your answer to four decimal places.

[expand title=View Answer]
To calculate the sample correlation coefficient (r), you can use the following formula:

r = Cov(x, y) / (σx * σy)

Where:

Cov(x, y) is the covariance you calculated in the previous answer (-1.34).
σx is the standard deviation of x.
σy is the standard deviation of y.
Since you haven’t provided the standard deviations of x and y, you would need those values to compute the sample correlation coefficient (r).
[/expand]

Quiz 2: End of Week Quiz

Q1. The mean is not sensitive to extreme values (outliers).

[expand title=View Answer] False [/expand]

Q2. The range takes into account only the largest and smallest observations.

[expand title=View Answer] True [/expand]

Q3. The skewness of a distribution depends on the degree of dispersion around the mean.

[expand title=View Answer] False [/expand]

Q4. If Cov(x,y) < 0 , then x and y tend to move in opposite directions.

[expand title=View Answer] True [/expand]

Q5. In a set of data, a mode always exists.

[expand title=View Answer] False [/expand]

Statistics for International Business Week 03 Quiz Answers

Quiz 1: Summative Questions

Q1. A seller in particular has day three HP printers and two Brother printers in his store.

Suppose that a customer comes into the store to purchase two printers. She is not interested in a particular brand — since both of them have the same operating characteristics. This is why the customer chooses the computers purely by chance. Therefore this means that: Any printer is equally likely to be selected.

What is the probability that the customer will choose one HP and one Brother printer?

NB- Please give your answer as a decimal, not a fraction. E.G. 0.5, not \frac12
2
1

Probability(HP then Brother) + Probability(Brother then HP) = (3/5) * (2/4) + (2/5) * (3/4)

Calculating this:
<!-- wp:shortcode -->
[expand title=View Answer] 
(3/5) * (2/4) + (2/5) * (3/4) = 6/20 + 6/20 = 12/20 = 0.6

So, the probability that the customer will choose one HP and one Brother printer is 0.6.
 [/expand]
<!-- /wp:shortcode -->

Q2. A company is hiring candidates for four CEO positions. Five candidates are women, and three are men.

Given that all eight candidates are equally qualified, and that every combination of male and female candidates is equally likely to be chosen, what is the probability that at least one man will be chosen?

NB- Please give your answer as a fraction, e.g. 1/2, not 0.5

[expand title=View Answer]
To find the probability that at least one man will be chosen, we can calculate the complement probability (i.e., the probability that no men are chosen) and subtract it from 1.

Probability(no man is chosen) = Probability(all women are chosen)
Number of ways to choose 4 women out of 5 / Total number of ways to choose 4 candidates out of 8

Probability(no man is chosen) = (5C4 / 8C4)

Now, we can calculate the complement probability:

Probability(at least one man is chosen) = 1 – Probability(no man is chosen)

Calculating this:

Probability(at least one man is chosen) = 1 – (5C4 / 8C4)
Probability(at least one man is chosen) = 1 – (5 / 70)

Now, simplify:

Probability(at least one man is chosen) = 1 – (1/14)
Probability(at least one man is chosen) = 13/14

So, the probability that at least one man will be chosen is 13/14.
[/expand]

[expand title=View Answer] The probability of getting a sum of 9 when throwing two dice is 1/12. [/expand]

Q4. A mathematics class is comprised of 10 economics students and 5 statistics students. All the students in a class recently took a test.

The probability that an economics student has a mark higher than 27 is 0.2. The probability that a statistics student has a mark higher than 27 is 0.3.

If you picked a student from the class at random, what would be the probability that he or she would have a mark higher than 27?

NB- Please give your answer to THREE decimal places

[expand title=View Answer]
The probability depends on whether the student is an economics student or a statistics student.

For economics students: Probability(higher than 27) = 0.2

For statistics students: Probability(higher than 27) = 0.3

Now, we need to calculate the overall probability considering the proportions of each type of student:

Probability(higher than 27) = (Proportion of economics students) * (Probability for economics students) + (Proportion of statistics students) * (Probability for statistics students)

Proportion of economics students = 10 / 15 (10 economics students out of 15 total) Proportion of statistics students = 5 / 15 (5 statistics students out of 15 total)

Now, calculate:

Probability(higher than 27) = (10/15) * 0.2 + (5/15) * 0.3

Simplify:

Probability(higher than 27) = (2/3) * 0.2 + (1/3) * 0.3

Now, calculate the probabilities:

Probability(higher than 27) = 0.4/3 + 0.3/3

Probability(higher than 27) = 0.7/3

Probability(higher than 27) ≈ 0.233 (rounded to three decimal places)

So, the probability that a randomly picked student has a mark higher than 27 is approximately 0.233.
[/expand]

Q5. After two midterm tests, 10% of the students passed both tests and 50% of the class passed only the first test.

What percent of those who passed the first test also passed the second test?

[expand title=View Answer] 20% [/expand]

Quiz 2: End of Week Quiz

Q1. In conditional probability, if Event B has occurred, then Event A will occur

[expand title=View Answer] False[/expand]

Q2. In a random experiment, two distinct outcomes may receive the same value.

[expand title=View Answer]False[/expand]

Q3. The probability 𝑃𝑟(𝑋=𝑥)Pr(X=x) associated with outcomes quantifies the uncertainty about the event.

[expand title=View Answer] True[/expand]

Q4. For the continuous case, the probability associated with any particular point is zero

[expand title=View Answer] True [/expand]

Q5. The variance of a random variable may be either positive or negative.

[expand title=View Answer] False [/expand]

Statistics for International Business Week 04 Quiz Answers

Quiz 1: End of Week

Q1. A hypothesis is a claim (assumption) about a population parameter, but sometimes about a sample statistic.

[expand title=View Answer] True [/expand]

Q2. If we reject a true null hypothesis, we commit a Type I Error.

[expand title=View Answer] True[/expand]

Q3. A two-tailed test involves both negative and positive values.

[expand title=View Answer] True [/expand]

Q4. The null hypothesis always contains “=” , “\le≤” or “\ge≥” sign.

[expand title=View Answer] True [/expand]

Quiz 2: End of Course Quiz

Q1. Which of the following is true of the null and alternative hypotheses?

[expand title=View Answer] Exactly one hypothesis must be true [/expand]

Q2. The ratio between the two variances…

[expand title=View Answer] Gives us the measure of the relative efficiency of \hat{\beta}_1β^​1​ with respect to \hat{\beta}_2β^​2​ [/expand]

Q3. Which of the following statements is true for “outliers”?

[expand title=View Answer] They can distort summary statistics [/expand]

Q4. A type II error occurs when…

[expand title=View Answer] the null hypothesis is incorrectly accepted when it is false[/expand]

Q5. Given the following set of data, what is the range?

[expand title=View Answer] 59[/expand]

Q6. A one-tailed test…

[expand title=View Answer]requires less evidence to reject the null hypothesis [/expand]

Q7. The t statistic is…

[expand title=View Answer] a function of a random sample[/expand]

Q8. Which of the following sentences best describes random sampling?

[expand title=View Answer]Random sampling means that every possible sample of a given size, nn, has the same chance of selection- that is j=N/nj=N/n. [/expand]

Q9. If we want to draw attention to the proportion of frequencies in each category of variables

[expand title=View Answer] We use bar chart[/expand]

Q10. If data is skewed to the right, the measure of skewness will be…

[expand title=View Answer] Positive [/expand]

Q11. Which of the following is true?

[expand title=View Answer] Categorical variables produce responses that belong to groups of categories [/expand]

Q12. Focusing on describing or explaining data versus going beyond immediate data and making inferences is the difference between…

[expand title=View Answer]Descriptive and inferential [/expand]

Q13. If a distribution is skewed to the left, then it is:

[expand title=View Answer] Negatively skewed[/expand]

Q14. If Cov(x,y)<0Cov(x,y)<0 then…

[expand title=View Answer] xx and yy tend to move in opposite directions [/expand]

Q15. One-tailed alternatives are phrased in terms of

[expand title=View Answer] \gt> or \lt< [/expand]

Q16. If the data is severely skewed, what is the preferred measure of central tendency?

[expand title=View Answer] Median [/expand]

Q17. The value set for \alphaα is known as…

[expand title=View Answer]the significance level[/expand]

Q18. Which of the following statements is false?

[expand title=View Answer] The covariance is the only numerical way to describe a linear
[/expand]

Q19. Measures of central tendency are:

[expand title=View Answer] Descriptive statistics that identify the best single value for representing a set of data [/expand]

Q20. If Cov(x,y)=0Cov(x,y)=0, then…

[expand title=View Answer]xx and yy are independent [/expand]

Q21. A restriction is…

[expand title=View Answer]the null hypothesis [/expand]

Q22. The regression analysis…

[expand title=View Answer] aims at finding the model which best fits the data [/expand]

Q23. Given the model y_t=\alpha+\beta{x_t}+u_ty

[expand title=View Answer] We need to find \alphaα and \betaβ, which minimize the vertical distance between the estimate line and the data [/expand]

Q24. An estimator is unbiased if…

[expand title=View Answer] the difference between the mean value and the true value E[\hat\beta]-\betaE[β^​]−β is equal to 0[/expand]

Q25. Which of the following is not a measure of central tendency?

[expand title=View Answer] Covariance[/expand]

Q26. What is the first stage of statistics?

[expand title=View Answer] Collecting data [/expand]

Q27. Which of the following is used to represent a known value of the population variance?

[expand title=View Answer] \sigma^2σ2[/expand]

Q28. A parameter is…

[expand title=View Answer] a numerical measure that describes a specific characteristic of a population[/expand]

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