# MCQs on Quality control and Statistics

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1. A study determines that 60% of the voters in a town intend to vote for the incumbent mayor. If a sample of 8 people is selected, the approximate probability that 6 of the 8 people surveyed intend to vote for the incumbent is (using the binomial probability formula):

a. 0.21

b. 0.47

c. 1.28

d. 0.60

2. The probability that exactly 2 heads will be tossed in 5 consecutive coin tosses is:

a. 0

b. 0.03125

c. 0.3125

d. 0.15625

3. A large-sample test to determine the average life of a type of alkaline battery is most likely to use the:

a. Normal distribution

b. Poisson distribution

c. Hypergeometric distribution

d. Binomial distribution

4. If the average of 0.5 customers arrive per minute at a ticket counter, what is the probability that exactly 4 customers will arrive in a 5-minute span?

a. 0.0534

b. 0.50

c. 0.68

d. 0.134

5. A firm wants to monitor the number of missed stitches on a line of sweaters being produced. The researchers will construct and use a(n) ________ chart to aid data interpretation.

a. p chart

b. u chart

c. c chart

d. x-bar chart

6. A p chart with variable sample sizes yields the following statistics:

Process average = 0.50; UCL = 0.80; average sample size is 100

For an observation of value 0.78 drawn from a sample of 90:

a. the point is under control for the average limit, so it will definitely be under control for the individual limit

b. the individual control limit must be calculated to determine if the point exhibits a lack of control

c. we can determine that the point exhibits a lack of control without the need to calculate the individual control limits.

7. Data from 30 subgroups of 100 units each yields a total of 150 defective units. The upper control limit on the np chart is:

a. 0.70

b. 5.00

c. 5.65

d. 11.54

8. A sampling process destroys the unit sampled, and because the process is continuous it is possible only to collect one sample at a time. The most appropriate chart to use is a(n):

a. x-bar chart

b. np chart

c. chart of individuals

d. c chart

9.

Production Run Subgroup Size # of defective Units

1 150 6

2 150 3

3 150 2

4 150 0

5 150 3

6 150 3

7 150 1

8 150 3

9 150 8

10 150 1

11 150 5

12 150 4

13 150 0

14 150 2

15 150 6

16 150 4

17 150 9

18 150 1

19 150 2

20 150 0

The most appropriate chart to analyze this data is the:

a. c hart

b. variable control chart

c. x-bar chart

d. p chart

The proportion nonconforming for the 9th production run is:

a. 0.04

b. 0.053

c. 0.08

d. 0.123

The upper control limit for the data is:

a. 0.032

b. 0.036

c. 0.056

d. 0.32

Which of the following production runs exhibits a lack of control in the process?

a. 17

b. 9, 17

c. 4, 13, 20

d. 4, 13, 17, 20

10. A firm will use a _______ when measuring nonconformities per unit with variable sample sizes.

a. p chart

b. np chart

c. c chart

d. u chart

11. Overstressing a product is a common cause of:

a. early failure

b. random failure

c. wear-out

12. A key component of training and education of product users.

a. adequate training and education of product users

b. redundant components

c. fail-safe design

d. comprehensive product knowledge

e. both a and d

f. all of the above

13. A metal rod used in connecting two subassemblies for a machine part must measure 2.35 cm in length. Any deviation causes a change in torsion ratios that materially affects the performance of the part. It costs the manufacturer $24 to adjust the rod (under warranty) when a complaint is received. Based on past experience, the average customer has returned the subassembly if the rod measurement is off by at least 0.12 cm. The firm can adjust the rod for only $4.50 at the factory.

The Taguchi loss function for the rod is:

a. L(y) = 24(y-2.35)2

b. L(y) = 24(y-0.12)2

c. L(y) = 1,666.67(y-2.35)2

d. L(y) = 1,666.67(y-0.12)2

What should the tolerance specification be before a factory adjustment is made?

a. 2.35 +/- 0.12

b. 0.12 +/- 0.052

c. 2.35 +/- 0.052

14. If a company benchmarks outside its own industry, it may find new ideas and processes that allow it to match or even surpass current industry leaders.

a. True

b. False

15. QFD attempts to measure the correlation between customer requirements and technical requirements, and the products technical performance to that of competitors, but does not evaluate regulatory requirements that might affect the product.

a. True

b. False

16. A binomial probability distribution:

a. has a constant probability of success in each trial

b. determines the result of a trial based on the results of the previous trial

c. has mutually exclusive outcomes

d. is determined from an infinite number of trials

e. both a and c

f. all the above

17. A large-sample test to determine the average life of a type alkaline battery is most likely to use the:

a. normal distribution

b. poisson distribution

c. hypergeometeric distribution

d. binomial distribution

18. The ______________ is used to evaluate the number of nonconformities in a unit.

a. p chart

b. u chart

c. c chart

d. x-bar chart

#### Solution Summary

This posting contains answers to following multiple choice questions on quality control and statistics