1.   Which step in the decision making process identifies the decision criteria?

a. 1

b. 2

c. 3

d. 4

2.   A population surveyor is tasked to find out more about the population using survey. What kind of data collection method is being used by the surveyor?

a. proactive

b. reactive

c. automated

d. none of the options

3.   Which of the following represent the DCOVA framework?

a. define, collect, organise, visualise, apply

b. define, continuous, organise, visualise, apply

c. define, collect, organise, visualise, analyse

d. none of the options

4.   Given that there are 10000 students in a university, John wishes to find the average age of the students. He asked a number of students for their age and calculate the   average. He then use this value as the representative average age of the whole        university. What kind of statistics is he attempting to apply?

a. business statistic

b. descriptive statistic

c. inferential statistic

d. none of the options

5.   There are TWO (2) goals in a correlational study. One of the goal is to determine   whether there is a relationship between two variables. Which of the following is the other goal?

a. to simply observe two variables

b. to process the data collected

c. to develop optimisation models to support all levels of management

d. none of the options

6.   A survey was conducted on a population to determine the number of cell phones in a household. What kind of variable is this and what kind of scale will be suitable?

a. it is a numerical and discrete variable that is ratio scaled

b. it is a categorical variable that is nominal scaled

c. it is a numerical and continuous variable that is interval scaled

d. it is a numerical and discrete variable that is interval scaled

7.   A telecommunication provider is tracking the monthly data usage, in MB, of an individual. What kind of variable is this and what kind of scale will be suitable?

a. it is a numerical and discrete variable that is ratio scaled

b. it is a categorical variable that is nominal scaled

c. it is a numerical and continuous variable that is ratio scaled

d. it is a numerical and discrete variable that is interval scaled

8.   John is monitoring the number of text messages he exchanged with his wife. What kind of variable is this and what kind of scale will be suitable?

a. it is a numerical and discrete variable that is ratio scaled

b. it is a categorical variable that is nominal scaled

c. it is a numerical and continuous variable that is ratio scaled

d. it is a numerical and discrete variable that is interval scaled

9.   Adam wants to know what kind of phone plan is suitable for him. He is currently tracking his voice usage per month in minutes. What kind of variable is this and  what kind of scale will be suitable?

a. it is a numerical and discrete variable that is ratio scaled

b. it is a categorical variable that is nominal scaled

c. it is a numerical and continuous variable that is interval scaled

d. it is a numerical and continuous variable that is ratio scaled

10. Jane is deciding which cell phones she should purchase. One of the factor she is considering is whether that particular cell phone can send email. What kind of  variable is this and what kind of scale will be suitable?

a. it is a numerical and discrete variable that is ratio scaled

b. it is a categorical variable that is nominal scaled

c. it is a categorical variable that is ordinal scaled

d. it is a numerical and continuous variable that is ratio scaled

11. A stem-and-leaf display requires data to be sorted in some manner. Given that the data is [13, 17, 12, 13, 18, 19, 14, 14, 17, 15, 17, 19, 19, 12], what will be the       resulting value of the leaf branch?

a. 22334457778999

b. 99987775443322

c. 11111111111111

d. 2345789

12. A random sample of 1000 invoices is drawn. Each invoice is categorized as small, medium or large amount. Errors, categorized as yes or no, were also checked for   each invoice. Which of the following is a suitable single visualization for this        information?

a. bar chart

b. summary table

c. contingency table

d. pie chart

13. Given that 100 voters were asked whether they will vote in the next election. Each voter is categorized into high and low income earners. Additionally, each voter     were also categorized into likely to vote and unlikely to vote. 25% of the voters    belongs to low income earners. Out of the low income voters, 20% of them are     likely to vote. How many low income voters are unlikely to vote?

a. 15

b. 25

c. 10

d. none of the options

14. Given the ordered array [12, 13, 17, 21, 24, 24, 26, 27, 27, 30, 32, 35, 37, 38, 41, 43, 44, 46, 53, 58], which is the class and midpoint of the highest frequency?

a. class = 30 to 40 and midpoint = 35

b. class = 10 to 20 and midpoint = 15

c. class = 20 to 30 and midpoint = 25

d. class = 40 to 50 and midpoint = 45

15. Given the ordered array [12, 13, 17, 21, 24, 24, 26, 27, 27, 30, 32, 35, 37, 38, 41, 43, 44, 46, 53, 58], what is the relative frequency and percentage of class = 50 to 60?

a. 0.25, 25%

b. 0.2, 20%

c. 0. 1, 10%

d. 0. 15, 15%

16. Given an ordered array and the corresponding frequency distribution table are visualized using a histogram. What is shown in the horizontal axis of the        histogram?

a. percentage

b. relative frequency

c. frequency

d. class boundaries

17. Given the number of child birth in each year for NINE (9) years, in thousands, are [43, 54, 60, 73, 82, 95, 107, 99, 95]. Which of the following visualization will be  most appropriate to show the trend of child birth by year?

a. pie chart

b. bar chart

c. time series plot

d. side by side bar chart

18. Given the house prices are 2000000, 500000, 300000, 100000 and 100000. What is the mean, median and mode?

a. mean=500000, median=200000, mode=300000

b. mean=500000, median=300000, mode=300000

c. mean=600000, median=300000, mode=100000

d. mean=200000, median=200000, mode=200000

19. Given that a bell-shaped population credit rating mean is 2.06 and standard          deviation is 0.02. Approximately how many percent of the population will have a credit rating of between 2.02 and 2. 10?

a. 95%

b. 68%

c. 99.7%

d. none of the options

20. Given that a bell-shaped population age mean is 56 and standard deviation is 2. Approximately how many percent of the population is aged between 50 and 62?

a. 99.7%

b. 75%

c. 50%

d. 95%

21. A nine-sided dice has each side labelled either 9,8,7,6,5,4,3,2 or 1 dots. What is the probability of landing a face with 9 dots after rolling the dice for ONE (1) time?

a. 1/9

b. 2/9

c. 3/9

d. 4/9

22. A survey was conducted to see if customers who has plans to buy a new desktop has indeed purchased one. There are 300 customers who have made the purchase and 700 customers who have not made the purchase. In the same survey, 250      customers has plans to buy while 750 customers has no plans to buy. How many respondents are in the sample space?

a. 300

b. 700

c. 1000

d. 800

23. A study was conducted to see the correlation between the purchase of streaming    media box and the purchase of higher refresh rate television. There are 108            customers who purchased a streaming box and 192 customers who have not. In the same sample space, 80 customers has bought a higher refresh rate television and

220 customers have not bought one. What is the size of the sample space?

a. 500

b. 600

c. 300

d. 400

24. Given that P(D|T)=0.582, P(T|D)=0.90 and P(D)=0.03. What is P(T|D’) x P(D’)?

a. 0.6

b. 0.5

c. 0.4

d. none of the options

25. A survey was conducted with 300 customers of a shop. The number of customers    that has bought a television is 80 and 240 customers are satisfied with the shop. Out of the customers who are satisfied, 64 of them bought a television. Given that A =   satisfied with the shop and B = buy a television. Both A and B are independent.       What is P(A | B) and P(A)?

a. P(A|B) = 0.5, P(B) = 0.5

b. P(A|B) = 0.5, P(B) = 0.7

c. P(A| B) = 0.8, P(B) = 0.8

d. P(A | B) = 0.5, P(B) = 0.8

26. The probabilities that Alan will score for his upcoming test are P(90)=0.2, P(70)=0.3, P(60)=0.3 and P(40)=0.2. What is the expected score for Alan?

a. 75

b. 65

c. 90

d. 40

27. If likelihood of a tagged order form is 0. 1, what is the probability that there are less than THREE (3) tagged order forms in the sample of FOUR (4)?

a. 0.9963

b. 0.0036

c. 0.0037

d. none of the options

28. Given the number of work-related injuries per month follows a Poisson Distribution with a mean of 2.5 work-related injuries per month. What is the probability that in a given month, at least one work-related injury will occur?

a. 0.9963

b. 0.9179

c. 0.0821

d. none of the options

29. How many possible FIVE (5) scoop combination can be created in an ice cream parlor if there are TWELVE (12) flavors to choose from?

a. 793

b. 799

c. 792

d. none of the options

30. The probability of purchasing a defective computer follows a Binomial                   Distribution. Given that the probability of purchasing a defective computer is 0.02. What is the probability of purchasing TWO (2) defective computers in a lot of      TEN (10)?

a. 0.2531

b. 0.1531

c. 0.1234

d. 0.1631

31. What is the value of P(- 1.57 < Z < 1.84)?

a. 0.0911

b. 0.9089

c. 0.1401

d. none of the options

32. What is the value of P(Z > 1.84) + P(Z < - 1.57)?

a. 0.0911

b. 0.9089

c. 0.1401

d. none of the options

33. Given a normal distribution with mean 50.0 and standard deviation 4.0, what is the probability that X > 43?

a. 0.0228

b. 0.9599

c. 0.3314

d. none of the options

34. Given a normal distribution with mean 50.0 and standard deviation 4.0, what is the probability that X < 42?

a. 0.0228

b. 0.9599

c. 0.3314

d. none of the options

35. The time between arrivals of customers at a bank during the 12pm to 1pm hour has a uniform distribution between 0 to 120 seconds. What is the probability that the    time between the arrival of two customers will be less than 20 seconds?

a. 0.1667

b. 0.7083

c. 0.0833

d. 34.641

36. The amount of time a bank teller spends with each customer has a population mean of 3.10 minutes and a standard deviation of 0.40 minute. The population is              approximately symmetrical to use the standardised normal distribution as an           approximation. If a random sample of 16 customers is selected, what is the             probability that the mean time spent per customer is at least 3 minutes?

a. 0.8413

b. 3.204

c. 3.152

d. none of the options

37. Suppose a population has mean of 8 and standard deviation of 3. A random sample of 36 is selected. Using central limit theorem, what is the probability that the same mean is between 7.8 and 8.2?

a. 0.4213

b. 0.5139

c. 0.3108

d. none of the options

38. Assuming a two-candidate election, if a specific candidate receives at least 55% of the vote in the sample, that candidate will be forecast as the winner of the election. If a random sample of 100 voters were selected, what is the probability that a          candidate will be forecast as the winner when the population percentage of her vote is 50. 1%?

a. 0.8461

b. 0.1635

c. 0.8365

d. none of the options

39. An orange juice producer buys oranges from a large orange grove that has one    variety of orange. The amount ofjuice squeezed from these oranges is                 approximately normally distributed, with population mean of 4.70 ounces and    standard deviation of 0.40 ounce. If a sample of 25 oranges is selected, the          probability is 77% that the sample mean amount ofjuice will be lesser than what value?

a. 5.1487

b. 3.1342

c. 4.7592

d. none of the options

40. Determine the critical value of t for 1 −  = 0.95 and n = 10.

a. 2.26

b. 3.25

c. 2.145

d. none of the options

41. A client wants to have 95% confidence of the population mean processing time to within more or less than 4 days with standard deviation of 25 days. What is the    approximate sample size needed?

a. 120

b. 140

c. 150

d. 170

42. If  = 125,  = 24 and n = 36, construct a 99% confidence estimate for the population mean  .

a. 124.68 ≤  ≤ 145.32

b. 104.68 ≤  ≤ 155.32

c. 114.68 ≤  ≤ 135.32

d. 134.68 ≤  ≤ 165.32

43. If n = 200 and X = 50, construct a 95% confidence interval estimate for the population proportion.

a. 0.49 ≤  ≤ 0.61

b. 0.39 ≤  ≤ 0.51

c. 0.19 ≤  ≤ 0.31

d. 0.29 ≤  ≤ 0.41

44. Assume 0.05 level of significance in a two-tailed hypothesis test using Z-          distribution, what statistical decision will you make if the test statistic Z = 3.21?

a. do not reject the null hypothesis

b. reject the null hypothesis

c. accept null and alternative hypothesis

d. reject null and alternative hypothesis

45. The quality-control manager at a light bulb factory needs to determine whether the mean life of a large shipment of light bulbs is equal to 375 hours. The population  standard deviation is 100 hours. A random sample of 64 light bulbs indicates a      sample mean life of 350 hours. At 0.05 level of significance. Is there evidence that mean life is different from 375 hours?

a. As test statistic = - 1 > - 1.96, do not reject null hypothesis

b. As test statistic = -0.5 > - 1.96, do not reject null hypothesis

c. As test statistic = -2 < - 1.96, reject null hypothesis

d. As test statistic = -2.4 < - 1.96, reject null hypothesis

46. A soft drink manufacturer claims that each soft drink can has a volume of 150ml.   20 soft drink cans were randomly selected for quality control check and the sample mean was found to be 130ml and standard deviation to be 60ml. Test at 0.01 level  of significance whether the average volume of soft drink in the cans are lower than 150ml.

a. As test statistic = - 1.2 > -2.540, do not reject null hypothesis

b. As test statistic = - 1.49071 > -2.540, do not reject null hypothesis

c. As test statistic = -2 < - 1.96, reject null hypothesis

d. As test statistic = -2.4 < - 1.96, reject null hypothesis

47. Given an experimental design for a paired t test has 52 pairs of identical twins, how many degree of freedom are there in this test?

a. 49

b. 51

c. 45

d. 50