Get All Weeks Statistics for International Business Coursera Quiz Answers
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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?
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?
ViewQ3. Is the number of renegotiations asked by the borrower of a revolving loan a numerical or categorical variable?
ViewQ4. Is gender a numerical or categorical variable?
ViewQuiz 2: End of Week Quiz
Q1. A sample is the complete set of all items of interest.
ViewQ2. In a random sampling every possible sample of a given size, n, has the same chance to be chosen.
ViewQ3. Statistics can be used to enable fully informed decisions.
ViewQ4. A parameter is a numerical measure that describes a specific characteristic of a sample.
ViewQ5. Descriptive statistics focus on graphical and numerical procedures that are used to summarize and process data.
ViewStatistics 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?
ViewMedian
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:
ViewQ4. 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.
ViewQ5. 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?
ViewTo 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)
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.
Viewr = 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).
Quiz 2: End of Week Quiz
Q1. The mean is not sensitive to extreme values (outliers).
ViewQ2. The range takes into account only the largest and smallest observations.
ViewQ3. The skewness of a distribution depends on the degree of dispersion around the mean.
ViewQ4. If Cov(x,y) < 0 , then x and y tend to move in opposite directions.
ViewQ5. In a set of data, a mode always exists.
ViewStatistics 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 --> View(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.<!-- /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
ViewProbability(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.
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
ViewFor 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.
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?
ViewQuiz 2: End of Week Quiz
Q1. In conditional probability, if Event B has occurred, then Event A will occur
ViewQ2. In a random experiment, two distinct outcomes may receive the same value.
ViewQ3. The probability 𝑃𝑟(𝑋=𝑥)Pr(X=x) associated with outcomes quantifies the uncertainty about the event.
ViewQ4. For the continuous case, the probability associated with any particular point is zero
ViewQ5. The variance of a random variable may be either positive or negative.
ViewStatistics 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.
ViewQ2. If we reject a true null hypothesis, we commit a Type I Error.
ViewQ3. A two-tailed test involves both negative and positive values.
ViewQ4. The null hypothesis always contains “=” , “\le≤” or “\ge≥” sign.
ViewQuiz 2: End of Course Quiz
Q1. Which of the following is true of the null and alternative hypotheses?
ViewQ2. The ratio between the two variances…
ViewQ3. Which of the following statements is true for “outliers”?
ViewQ4. A type II error occurs when…
ViewQ5. Given the following set of data, what is the range?
ViewQ6. A one-tailed test…
ViewQ7. The t statistic is…
ViewQ8. Which of the following sentences best describes random sampling?
ViewQ9. If we want to draw attention to the proportion of frequencies in each category of variables
ViewQ10. If data is skewed to the right, the measure of skewness will be…
ViewQ11. Which of the following is true?
ViewQ12. Focusing on describing or explaining data versus going beyond immediate data and making inferences is the difference between…
ViewQ13. If a distribution is skewed to the left, then it is:
ViewQ14. If Cov(x,y)<0Cov(x,y)<0 then…
ViewQ15. One-tailed alternatives are phrased in terms of
ViewQ16. If the data is severely skewed, what is the preferred measure of central tendency?
View MedianQ17. The value set for \alphaα is known as…
ViewQ18. Which of the following statements is false?
ViewQ19. Measures of central tendency are:
ViewQ20. If Cov(x,y)=0Cov(x,y)=0, then…
ViewQ21. A restriction is…
ViewQ22. The regression analysis…
ViewQ23. Given the model y_t=\alpha+\beta{x_t}+u_ty
ViewQ24. An estimator is unbiased if…
ViewQ25. Which of the following is not a measure of central tendency?
ViewQ26. What is the first stage of statistics?
ViewQ27. Which of the following is used to represent a known value of the population variance?
ViewQ28. A parameter is…
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