1. The ______________ diagram starts with one item which then branches of into two or more
items. This diagram is used to breakdown broad categories into finer levels of detail.
Correct : B. Tree
2. Lot tolerance percent defective (LTPD) is a level of lot quality specified by the
______________.
Correct : A. Consumer
3. Machine wear and tear is ______________ source of variation.
Correct : C. Assignable
4. Pattern in control charts which show the tendency to cluster around central line is termed as:
Correct : A. Stratification
5. When output product of several sources is fed into a common stream, the pattern of the
control chart expected is:
Correct : C. Mixture
6. A fan blade is specified by length and thickness. While sampling, it was found that for one particular blade, the length was non-conforming while the thickness was as per specifications. Should the blade be considered non-conforming for construction of a p chart?
Correct : A. Yes
7. Consider that for a particular process, the p has shifted to .4 and the process has gone out of
control. The corresponding value of beta is found to be .3356. The value of Average Run Length is:
Correct : B. 1.5 ((1/1-beta) provides us with average run length)
8. Consider for a process in control, the value of alpha is .0015. What is the value of the
average run length?
Correct : A. 666 ( 1/alpha gives us an estimate of average run length)
9. Identify the charts which might give an indication of process going out of control (before
the process has actually changed)
Correct : D. X bar and R
10. The four phases of the Shewart cycle are:
Correct : C. Plan, Do, Act, Check
11. For a process which is six sigma complaint, the percentage of products within specifications
is:
Correct : B. 99.73%
12. Mistake proofing of process is done in the ______________ stage of DMAIC.
Correct : C. Improve
13. In ______________ step of Quality Function Deployment, product or service requirements
are collected and analyzed through techniques like market research.
Correct : A. Identify Customer Attributes
14. For a double sampling plan the probability of acceptance on the combined samples is
calculated as:
Correct : D. Sum of probability of acceptance of first and second sample
15. ______________ can be defined as small subset of a lot.
Correct : C. Sample
16. If the value of D4 = 2.547, D3=0, then what is the UCL and LCL for the R chart?
Correct : D. UCL=1.6, LCL=0
17. Process capability ratio is expressed as:
Correct : B. USL-LSL/6σ
18. Which of the following is the correct combination of specifications while designing a
control chart?
Correct : A. Sample size, Frequency of sampling, specification limit
19. For a c chart, the LCL comes out to be -.7. The value of LCL that should be used is:
Correct : B. 0
20. For a Poisson distribution:
Correct : C. The mean is equal to the variance
21. Effective quality control results in:
Correct : D. Both a and b
22. Effective quality improvement can be instrumental in:
Correct : C. Both a and b
23. Typically in a cause and effect diagram, the ______________ is used for classification of
causes in the service industry.
Correct : C. 5Ss
24. Producers risk can be defined as:
Correct : A. The probability of rejecting a good lot
25. In critical path method, earliest start is the:
Correct : A. The largest Earliest Finish leading to that task
26. Which of the following is not a use of arrow diagram:
Correct : D. Identifying defects in a process
27. For an ideal OC curve the probability of acceptance for lot fraction defective less than .01 is
______________.
Correct : A. Equal to 1
28. If we want to detect small process shifts using x bar chart, we should use a sample size of:
Correct : D. 15-25
29. Factory A produces 100 pieces of wooden legs used in manufacturing tables in 1 hour. The factory in total works for 3 hours. The quality manager decided to check the quality of the output
by measuring the length of the legs (in cms). He decides to collect three samples (one for each hour). The sample size for each sample is fixed at 5. The data collected is present in the following table: What is the mean and range of leg length in sample 1?
Correct : B. Mean=10.1;Range=.8
30. The parameters of s2
chart is specified using:
Correct : D. Chi-square distribution
31. Failure Mode and Effects Analysis, which prioritizes different sources of error, is used in
_________________ stage.
Correct : D. Analyze
32. The South African government is concerned about the high incidence of HIV/AIDS in South Africa. They wish to estimate the true number of people in South Africa who are HIV positive. A random sample of 5000 people was tested and 1980 of them were HIV positive. What is the statistic?
Correct : D. The 1980 people sampled who were HIV positive
33. In case someone is interested in process standard deviation, he should construct the
______________ chart.
Correct : C. S chart
34. The value of Var (3 - 4X) is:
Correct : C. 5120 / 81
35. Suppose box A contains 4 red and 5 blue coins and box B contains 6 red and 3 blue coins. A coin is chosen at random from the box A and placed in box B. Finally, a coin is chosen at
random from among those now in box B. What is the probability a blue coin was transferred from box A to box B given that the coin chosen from box B is red?
Correct : A. 15/29
36. A multiple-choice test has 30 questions. There are 4 choices for each question. A student who has not studied for the test decides to answer all the questions randomly by guessing the answer to each question. Which of the following probability distributions can be used to calculate the student's chance of getting at least 20 questions right?
Correct : D. Binomial
37. Which of the following is NOT true about the standard error of a statistic?
Correct : D. The standard error increases as the sample size(s) increases.
38. A two-tailed test is one where:
Correct : C. results in either of two directions can lead to rejection of the null hypothesis
39. The chi-square test can be too sensitive if the sample is:
Correct : B. very large
40. The treatment mean square (MSTR), Mean Square Error (MSE). If the true means of the k
populations are equal, then MSTR/MSE should be:
Correct : B. a positive number close to 1.00
41. The error deviations within the residual sum of squares (SSE) statistic measure distances:
Correct : A. within groups
42. In one-way ANOVA, which of the following is used within the F-ratio as a measurement of
the variance of individual observations?
Correct : C. The Residual Sum of Squares (SSE)
43. You obtained a significant test statistic when comparing three treatments in a one-way
ANOVA. In words, how would you interpret the alternative hypothesis H(a)?
Correct : C. At least two treatments are different from each other in terms of their effect on the mean
44. Two factors are said to interact when
Correct : A. The simple main effects of one factor are not homogeneous across all levels of the other.
45. How many dependent variables does a two-way ANOVA have?
Correct : A. One
46. A simple experimental design with two levels of an independent variable cannot
Correct : A. Detect a curvilinear relationship between variables.
47. If a researcher planned to have 20 participants in each condition of a 2 x 3 independent
group’s factorial design, how many participants would be needed for this experiment?
Correct : D. 120
48. What are the factors in a factorial design?
Correct : A. the independent variables
49. In a factorial design, a main effect is the ______________.
Correct : C. the effect of each independent variable on the dependent variable
50. During experimental design, a variable is defined as:
Correct : B. Factor
51. A researcher conducted a 2 x 2 completely repeated measures factorial design and planned
15 participants in each condition. How many participants would be required to conduct this experiment?
Correct : A. 15
52. For question 09 - 15, consider the model with the two factors, each at two levels:
Correct : A. 40
53. In a 3 x 3 factorial design, how many conditions are there in the experiment?
Correct : D. 9
54. What is the Sum of Squares of Number of Fertilizers (B)?
Correct : C. 7.19
55. What is the degree of freedom of B?
Correct : B. 2
56. A serious problem can occur in multiple regression analysis if an important variable is
omitted from the list of independent variables. This can lead to
Correct : B. Biased least squares estimators.
57. What does the Adjusted R squared value tells us?
Correct : D. The Adjusted R squared value tells us how much of the variance in the dependent variable can be accounted for by the independent variable
58. The South African government is concerned about the high incidence of HIV/AIDS in South Africa. They wish to estimate the true number of people in South Africa who are HIV positive. A random sample of 5000 people was tested and 1980 of them were HIV positive. What is the parameter of interest?
Correct : C. The number of people in South Africa who are HIV positive
59. Student's t-test is applicable only when:
Correct : A. n ≤ 30 and σ is known
60. An advertising executive is studying television-viewing habits of married men and women during prime time hours. On the basis of past viewing records, the executive has determined that during prime time, husbands are watching television 40% of the time. It has also been determined that when the husband is watching television, 40% of the time the wife is also watching. When the husband is not watching television, 30% of the time the wife is watching television. Find the probability that the wife is watching television in prime time.
Correct : C. 0.34
61. A result is called "statistically significant" whenever
Correct : C. The p-value is less or equal to the significance level.
62. The ______________ sum of squares measures the variability of the observed values
around their respective treatment means.
Correct : B. error
63. What must you include when reporting an ANOVA?
Correct : A. Standard deviations, Degrees of freedom, Means, F statistic, P value
64. As variability due to chance decreases, the value of F will
Correct : A. increase
65. When conducting an ANOVA, the F-Value calculated from the data will always fall within
what ‘range?
Correct : C. between 0 and infinity
66. Two factors are said to be orthogonal when:
Correct : C. they are uncorrelated, that is, they vary independently
67. If we add together the sums of squares for the simple main effects of one factor at all the different levels of another factor, we shall obtain:
Correct : D. The main effect sum of squares for the first factor, plus the sum of squares for its interaction with the second factor
68. In a factorial design, a main effect is the ______________.
Correct : C. the effect of each independent variable on the dependent variable
69. You have carried out a Kruskal-Wallis test. There are significant differences between the
three groups you are testing. How might you conduct your pair wise comparisons?
Correct : A. Use the Mann Whitney test
70. A 2 X 2 factorial
Correct : A. Is essentially two designs that have been combined into a single study.
71. In factorial designs, the number of times a condition is noted is called:
Correct : C. Replication
72. A factorial design is one in ______________
Correct : C. Two or more independent variables are simultaneously studied to determine their independent and interactive effects on the dependent variable
73. What is the Interaction between memory and cache (MIPS)?
Correct : D. 5
74. A researcher is conducting a 3 x 2 factorial experiment. In variable 1 participants are randomly assigned to one of 3 conditions. In variable 2 participants respond to both levels of the independent variable. Which of the following best describes this study?
Correct : C. it is a mixed factorial design
75. Dr. AB is conducting a 2 x 3 factorial experiment. He is interested in the impact of college major and study method on exam performance. He found that study method effected exam performance regardless of the participants' major. Which of the following is true?
Correct : A. Dr. AB found a main effect for study method.
76. What is the value at the position of (III)?
Correct : B. 0.85
77. What are residuals?
Correct : A. Residuals are the differences between the observed and expected dependent variable scores
78. An unbiased dice is rolled once. The probability of getting a number greater than 4 is:
Correct : D. 1/3
79. Which of the following statement is true?
Correct : B. Only factor B is significant; factor A and the two-factor interaction are not significant.
80. What is the purpose of a simple linear regression?
Correct : A. To predict scores on a dependent variable from scores on a single independent variable
81. Attribute charts may be used when:
Correct : A. Several characteristics can be jointly measured
82. Assume the cholesterol levels in a certain population have mean μ = 200 and standard deviation σ = 24. The cholesterol levels for a random sample of n = 9 individuals are measured and the sample mean x-bar is determined. What is the z-score for a sample mean x = 180?
Correct : B. -2.50
83. In hypothesis testing, a Type 2 error occurs when
Correct : C. The null hypothesis is not rejected when the alternative hypothesis is true.
84. Student's t-statistic is applicable in case of:
Correct : D. All of the above
85. Which of the following assumptions must be met to use an ANOVA?
Correct : D. All of these
86. Which of the following is an assumption of one-way ANOVA comparing samples from
three ‘or more experimental treatments?
Correct : D. All of the above.
87. When conducting a one-way ANOVA, the ______________ the between-treatment
variability is when compared to the within-treatment variability, the ______________ the FValue calculated from the data will tend to be.
Correct : B. smaller, smaller
88. You carried out an ANOVA on a preliminary sample of data. You then collected additional data from the same groups; the difference being that the sample sizes for each group were increased by a factor of 10, and the within-group variability has decreased substantially. Which of the following statements is NOT correct?
Correct : B. The degrees of freedom associated with the treatment term has increased
89. In the two-factor, between subjects (or two-way) ANOVA:
Correct : D. The three F tests do not always have the same power to reject the null hypothesis.
90. A ______________ effect(s) analysis examines mean differences at each level of the
independent variable.
Correct : B. simple main
91. Factorial designs allow us to study both ______________ effects of the independent
variables on the dependent variables.
Correct : A. main and interactive
92. A researcher conducted a 2 x 2 completely repeated measures factorial design and planned 15 participants in each condition. How many participants would be required to conduct this experiment?
Correct : A. 15
93. Consider two factors A and B, each with two levels. If there is no interaction between these
two factors, the difference in the response variable between the two levels of factor A would be ______________ the difference between the two levels of factor B.
Correct : B. equal to
94. Dr. RNS conducted a ______________ factorial design to examine the effects of music and
room temperature on participant's memory. Participants were randomly assigned to study a list of nonsense words either listening or not listening to music in either a warm or cold room.
Correct : B. 2 x 4
95. In factorial designs, the response produced when the treatments of one factor interact with
the treatments of another in influencing the response variable is known as
Correct : B. interaction
96. What is the Variation due to Cache?
Correct : C. 19%
97. What is the value at the position of (V)?
Correct : D. 0.33
98. The standard error of regression is
Correct : D. the square root of the variance of the predictions of the dependent variable
99. What is the purpose of a multiple regression?
Correct : C. To predict scores on an independent variable from scores on multiple dependent variables