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Compre Reviewer > Part IV > Flashcards

Part IV Flashcards

1
Q

The dimension of quality which refers to the
effective service life of the product
a. durability c. performance
b. serviceability d. features

A

a. durability

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2
Q

In which of the four major categories of quality
costs would the costs associated with scrap and
rework belong?
a. prevention c. internal failure
b. appraisal d. external failure

A

c. internal failure

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3
Q

Consider the total count of items produced in a
company.
defective w/o defect
Model A 24 76
Model B 12 88
A randomly chosen item is selected and it is found
to be defective. What is the probability that said item
is a model A product?
a. 0.12 c. 0.50
b. 0.24 d. 0.67

A

d. 0.67

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4
Q

A survey suggests that 60%, 85%, and 70% of IE
students indicated that they like Operations
Research (OR), Production and Operations
Management (POM), and Ergonomics (Ergo),
respectively. Around 40%, 45%, and 50%, indicated
that they like both OR and POM, OR and Ergo, and
POM and Ergo, respectively. If all students
surveyed indicated that they like at least one of the
three given IE areas, find the number of students
who like all three areas.
a. 10% c. 20 %
b. 15 % d. 25 %

A

c. 20 %

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5
Q

Around 10% of males are color-blind and around 2%
of females are. Find the probability that in a class of
4 males and 10 females, exactly 1 male and exactly
1 female are colorblind.
a. 0.04862 c. 0.22918
b. 0.09725 d. 0.45835

A

a. 0.04862

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6
Q

It is found that the number of particles X23A5 in a
water sample is Poisson distributed with an average
of 0.2 particles 23A5 per 10 mL. If five bottles
contain 100 mL of water each, what is the probability
that all bottles contain at most one particle X23A5
each?
a. around 0.001 c. around 0.1
b. around 0.01 d. around 1

A

b. around 0.01

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7
Q

MJ tells himself that after his 4th win in video games, he will call it a day and will sleep. What is the probability that he will play exactly 8 games before sleeping? It is assumed that in each game, his
chance of winning is 0.4.
a. 0.0033 c. 0.1161
b. 0.0066 d. 0.2322

A

c. 0.1161

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8
Q

If a teacher is trying to prove that new method of
teaching math is more effective than traditional one,
he/she will conduct a:
a. one-tailed test
b. two-tailed test
c. point estimation of parameters
d. confidence interval

A

a. one-tailed test

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9
Q

Which of the probabilities is reduced when the
sample size in hypothesis testing is increased?
Assume that alpha is held constant.
a. The probability of rejecting the null
hypothesis when it is true.
b. The probability of not rejecting the null
hypothesis when it is true.
c. The probability of rejecting the null
hypothesis when it is false.
d. The probability of not rejecting the null
hypothesis when it is false.

A

d. The probability of not rejecting the null
hypothesis when it is false.

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10
Q

What is the standard error of the usual estimator of
the population proportion, p? Let q = 1 – p.
a. sqrt(pq/n) c. sqrt (npq)
b. pq / n d. npq

A

a. sqrt(pq/n)

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11
Q

This type of interval estimate provides bounds tosome specified proportion of the
observations/values of the population.
a. confidence c. prediction
b. tolerance d. parameter

A

b. tolerance

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12
Q

Which of the following confidence interval on mean
should be preferred?
a. (1.75, 2.25) at 90% confidence
b. (1.75, 2.25) at 95% confidence
c. (1.90, 2.10) at 90% confidence
d. (1.90, 2.10) at 95% confidence

A

d. (1.90, 2.10) at 95% confidence

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13
Q

Which of the following describes the power of the
test?
a. The probability of rejecting the null hypothesis when it is true.
b. The probability of not rejecting the null
hypothesis when it is true.
c. The probability of rejecting the null hypothesis when it is false.
d. The probability of not rejecting the null hypothesis when it is false

A

c. The probability of rejecting the null hypothesis when it is false.

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14
Q

A province is to be split into two if the result of an
upcoming plebiscite is affirmative. Prior to the
plebiscite, a survey is conducted in the two districts
of the province. In district A, 620 of the 1,000
respondents favor the split, while only 480 of 1,200
surveyed in District B want the split. Construct a
95% two-sided confidence interval on the difference
of voter proportions in A and B that want the split.
a. (0.178, 0.262) c. (0.185, 0.255)
b. (0.179, 0.261) d. (0.186, 0.254)

A

b. (0.179, 0.261)

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15
Q

It is claimed that after the 2-mo weight loss program, an average of more than 5 kilos will be lost by the
participants. Eight initial participants undergo the
said program, and the results are as follows (weights are in kg):
Person Weight
(before)
Weight
(after)
1 84.5 77.5
2 102.3 90.1
3 92.4 79.4
4 76.2 70.3
5 93.8 87.6
6 108.7 93.8
7 75.4 70.2
8 98.1 89.7
What is the appropriate test to verify the claim?
a. Paired t-test
b. T-test, assume equal variance
c. T-test, assume not equal variance
d. Z-test

A

a. Paired t-test

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16
Q

An investor wants to compare the risks associated with two different stocks. One way to measure the risk of a given stock is to measure the variation in the stock’s daily price changes. The investor obtains a random sample of 20 daily price changes for stock 1 and 20 daily
price changes for stock 2. These data are shown in the table below. Show how this investor can compare the risks associated with the two stocks by testing the null
hypothesis that the variances of the stocks are equal.
Use  = 0.10.
Day Price Change
for stock 1
Price Change
for stock 2
1 1.86 0.87
2 1.80 1.33
3 1.03 -0.27
4 0.16 -0.20
5 -0.73 0.25
6 0.90 0.00
7 0.09 0.09
8 0.19 -0.71
9 -0.42 -0.33
10 0.56 0.12
11 1.24 0.43
12 -1.16 -0.23
13 0.37 0.70
14 -0.52 -0.24
15 -0.09 -0.59
16 1.07 0.24
17 -0.88 0.66
18 0.44 -0.54
19 -0.21 0.55
20 0.84 0.08
16. Which of the following is the appropriate alternative
hypothesis?
a. Ha: σ12 = σ22
b. Ha: σ12 / σ22 ≠ 1
c. Ha: σ2 ≠ σ20
d. Ha: σ12 / σ22 ≤ 1

A

b. Ha: σ12 / σ22 ≠ 1

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17
Q

What is the standard deviation of Price Change for
Stock 1?
a. 0.8272 c. 0.8487
b. 0.9213 d. 0.7203

A

c. 0.8487

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18
Q

What is the value of the test statistic?
a. F = 2.5726 c. F = 1.2665
b. F = 1.6040 d. F = 6.6186

A

a. F = 2.5726

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19
Q

Everyready produces your typical consumer battery.
The company claims that their batteries last at least 100
hours, on average. Your experience with the
Everyready battery has been somewhat different, so you
decide to conduct a test to see if the companies claim is
true. You believe that the mean life is actually less than
the 100 hours Everyready claims. You decide to collect
data on the average battery life (in hours) of a random
sample and the information related to the hypothesis test
is presented below.
Hypothesized mean 100.0
Sample mean 98.5
Std error of mean 0.777
Degrees of freedom 19
t-test statistic -1.932
p-value 0.034
19. What is the sample size used in the test?
a. 100 c. 20
b. 19 d. 99

A

c. 20

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20
Q
  1. If the alternative hypothesis is Ha: μ<100, what is
    the appropriate null hypothesis?
    a. H0: μ ≥ 100 c. H0: μ ≠ 100
    b. H0: μ > 100 d. H0: μ = 100
A

d. H0: μ = 100

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21
Q

At 5% significance level, what is the appropriate
conclusion?
a. The mean life of the batteries is less than 100 hours.
b. The mean life of the batteries is at least 100 hours.
c. The mean life of the batteries is equal to 100 hours.
d. The mean life of the batteries is not equal to 100 hours.

A

a. The mean life of the batteries is less than 100 hours.

22
Q

When the following hypotheses are being tested at
a level of significance of α, the null hypothesis will
be rejected if the p-value is:
H0: μ 500
Ha: μ < 500
a. ≤ α c. > α/2
b. > α d. ≤ 1-α/2

A

b. > α

23
Q

A bottling company runs a filling process that should
fill bottles with 12 plus or minus 0.04 ounces. A
capability study reveals that the process mean is 12
ounces and the standard deviation is 0.01 ounces.
What is the capability of the bottling process?
a. 0.67 c. 0.75
b. 1.33 d. 1.50

A

a. 0.67

24
Q

. In acceptance sampling, the producer’s risk is the
risk of having a:
a. good lot rejected
b. bad lot rejected
c. bad lot accepted
d. good lot accepted

A

c. bad lot accepted

25
Q

Which of the following is the correct interpretation of
SSE?
a. It represents the variability explained by the model
b. It measures the variability among the predicted values
c. It represents the variability left unexplained
d. It measures the overall adequacy of the mode

A

c. It represents the variability left unexplained

26
Q

Given the following results of multiple regression
involving the effect of water concentration, oxygen
concentration and time on chromium concentration,
which of the following statements is true? Use alpha
= 0.05.

Predictor p-value
Water concentration 0.008
Oxygen concentration 0.005
Time 0.092

a. Only time influences chromium concentration
b. Only oxygen concentration influences chromium concentration
c. Water concentration and oxygen
concentration influence chromium concentration
d. Water concentration and time influence chromium concentration

A

c. Water concentration and oxygen
concentration influence chromium concentration

27
Q

Given the following x-bar – R chart (n = 5), what is the process capability ratio (Cp) when the specifications are set at (-100, 100)? Use d2 = 2.326.

X-bar chart:
UCL = 47.53, CL = 10.9, LCL = -27.53
R chart:
UCL = 134.3, CL = 63.5, LCL = 0

a. 1.22 c. 1.09
b. 1.35 d. 1.32

A

a. 1.22

28
Q

Control chart theory is based on the differences of
the causes of variations in quality. Variations in
quality may be produced by assignable causes. All
of the following are examples of assignable causes
except:
a. Differences among machines
b. Differences among workers
c. Differences among materials
d. Differences in each of these factors over time

A

d. Differences in each of these factors over time

29
Q

A box of 1000 parts is subjected to an acceptance
sampling plan that examines only 50 parts. The
actual fraction defective in the box is 0.02 and the
sampling plan has a 0.53 probability of accepting a
box of this quality. What is the average outgoing
quality for this scenario?
a. 0.53 c. 0.01
b. 0.51 d. 0.02

A

c. 0.01

30
Q

. Which of the following is not a characteristic of a
transportation problem?
a. Each source is able to supply a fixed number
of units of the product and each destination has
a fixed demand for the product.
b. All constraints are inequalities in a balanced transporation model
c. transportation model where supply equals demand.
d. The linear programming model has constraints for supply at each source and demand at each destination.

A

b. All constraints are inequalities in a balanced transporation model

31
Q

Any minimal spanning tree with 7 nodes requires
only ___ links to get all the nodes connected.
a. 4 c. 6
b. 5 d. 7

A

c. 6

32
Q

What is the method used for solving assignment
problems?
a. Kruskal’s algorithm
b. Hungarian method
c. Dijkstra’s algorithm
d. Prim’s algorithm

A

b. Hungarian method

33
Q

Consider the 3-state Markov chain below modelling the weather in a particular day?

  1. If the markovian model is a correct model of the weather pattern pattern, which of the following is true?

a. weather tomorrow is affected by weather today only.
b. weather tomorrow is affected by weather yesterday and today.
c. weather tomorrow affected by weather yesterday only.
d. weather tomorrow not affected by weather yesterday and today.

A

a. weather tomorrow is affected by weather today only.

34
Q

Today (day 1) is sunny, what is the probability that
on day 4 will be cloudy? Note that that is 3
transitions.
a. less than 0.25 c. 0.28 – 0.31
b. 0.25 – 0.28 d. more than 0.31

A

a. less than 0.25

35
Q

Which is the most frequent weather type?
a. sunny c. rainy
b. cloudy d. there is a tie

A

a. sunny

36
Q

Consider the balanced transportation model below.

  1. Using the least cost method, what is the initial cost of the transportation model?
    a. less than 4,500 c. 4,600 – 4,700
    b. 4,500 – 4,600 d. more than 4,700
A

b. 4,500 – 4,600

37
Q

What is the entering variable in the first iteration?
a. cell 3C c. cell 1A
b. cell 2B d. cell 3B

A

c. cell 1A

38
Q

Water should be transported from node 1 to node 7 as a way to mitigate flooding in the city. Capacity of floodway (in ‘000 cu m / hr) is shown below.

  1. What is the maximum amount of water (in 000 cu m
    / hr) that can pass the floodways?
    a. less than 21 c. 24 to 26
    b. 21 to 23 d. more than 26
A

c. 24 to 26

39
Q
  1. Which of the pipes should be fully utilized to ensure the achievement of the maximal flow?
    a. 3  6 c. 4  3
    b. 1  3 d. 2  3
A

b. 1  3

40
Q

A project requires the following activities (A – G) to be completed. Indirect project costs are PhP 10,000/day. This cost can be saved if the project completion date is
reduced.

To illustrate the table below, activity F can be started once C is completed. Normally, activity F can be completed 7 days. But it can be finished only in 6 days at an extra cost of PhP 3,000, or in 5 days at extra cost of PhP 6,000. It cannot be crashed further beyond completion time of 5 days.

  1. Without expediting the activities (crashing), which of the following is not part of the project’s critical path?
    a. A c. F
    b. B d. G
A

c. F

41
Q

Without expediting the activities (crashing), find the
expected number of days before the project is
completed.
a. less than 20
b. between 20 and 21
c. between 22 and 23
d. more than 23

A

d. more than 23

42
Q

A cost-optimal plan is proposed to save indirect
expenses by crashing. Which of the following
activities should not be crashed?
a. B c. D
b. C d. F

A

b. C

43
Q

Find the new expected number of days before
completion if a cost-optimal decision is made?
a. less than 20
b. between 20 and 21
c. between 22 and 23
d. more than 23

A

b. between 20 and 21

44
Q

How much savings is made if the cost-optimal plan is made instead of simply the normal duration?
a. less than PhP 15,000
b. between PhP 15,000 and PhP 17,500
c. between PhP 17,500 and PhP 20,000
d. more than PhP 20,000

A

d. more than PhP 20,000

45
Q

Two competing colleges in a city will decide on their strategies for next school year. Dreamland (DL) College needs to decide to whether to open BS HRM (strategy
A), BS Nursing (strategy B), or BS IT (strategy C). Meanwhile, High Standard (HS) College can either open BS IT (strategy X) or BS Educ (strategy Y). Each one can introduce only one new course next school year due to regulatory constraints. As a result of their reputations in terms of specialization and teaching quality, the 1000 students targeted by these two schools will be divided
as follows.

If DL chooses A, it will get only 440 (out of 1000) if HS selects X. If HS opts for Y, DL can entice 530 students.

If DL prefers B while HS chooses X, DL will have 480 students. DL will have 540 if HS selects Y instead.

Finally, if DL opts for C, DL will have 510 students if HS chooses X, and only 450 students if HS prefers Y.

Model the situation as a constant-sum game, where mixed strategy is permitted. DL is the row player, and HS is the column player.

In the game, which is a dominated strategy for the
row player?
a. A c. C
b. B d. none

A

a. A

46
Q

Which of the following is a part of the Column Player’s LP, where yi represents the proportion of time that the column player chooses Strategy i, i =
1 for X and i = 2 for Y?
a. 440y1 + 530y2 ≤ v
b. 440y1 + 530y2 ≥ v
c. 530y1 + 440y2 ≤ v
d. 530y1 + 440y2 ≥ v

A

a. 440y1 + 530y2 ≤ v

47
Q

In the previous number, what is the definition of v?
a. The expected pay-off for the row player.
b. The expected pay-off for the column player.
c. The suggested proportion to use strategy X.
d. The suggested proportion to use strategy Y.

A

a. The expected pay-off for the row player.

48
Q

What is the optimal value of y1?
a. 0.25 c. 0.50
b. 0.33 d. 0.75

A

d. 0.75

49
Q

If the situation is repeated every school year,
justifying the use of mixed strategies, which
strategy should be used by DL most frequently?
a. A c. C
b. B d. tie exists

A

d. tie exists

50
Q

Assuming that mixed strategy is possible for this
situation, find the expected number of students out
of the possible 1000 that will enroll to HS?
a. less than 490 students
b. between 490 and 500 students
c. between 500 and 510 students
d. more than 510 students

A

c. between 500 and 510 students

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