Statement I $$overline X $$ chart, and chart and R chart are the techniques used for product control under statistical quality control.<br>Statement II Operating characteristic curve helps determine whether a particular acceptance sampling plan meets both the product's and the consumer's risk requirements.

The following Boolean expression $$Y = A \cdot \overline B \cdot \overline C \cdot \overline D + \overline A \cdot B \cdot \overline C \cdot D + \overline A \cdot \overline B \cdot \overline C \cdot D + \overline A \cdot \overline B \cdot \overline C \cdot D + \overline A \cdot B \cdot C \cdot D + A \cdot \overline B \cdot \overline C \cdot D$$ can be simplified to

A

$$\overline A \cdot \overline B \cdot C + A \cdot \overline D $$

B

$$\overline A \cdot B \cdot \overline C + A \cdot \overline D $$

C

$$A \cdot \overline B \cdot \overline C + \overline A \cdot D$$

D

$$A \cdot \overline B \cdot C + \overline A \cdot D$$

Which of the following are the drawbacks of acceptance sampling? (i) Acceptance sampling is less expensive. (ii) Acceptance sampling has the risk of accepting good lots and rejecting bad lots. (iii) Acceptance sampling requires planning and documentation of the acceptance-sampling procedure whereas 100% inspection does not. (iv) Acceptance sampling requires less manpower.

A

i, ii, iii, iv

B

ii, iii, iv

C

ii, iii

D

i, ii, iv

Which of the following is/are the advantages of using a control chart for inspection? (i) A control chart indicates whether the process is in control or out of control. (ii) A control chart determines process variability. (iii) A control chart ensures product quality. (iv) Scrap or percentage reduction can be reduced by taking the necessary actions in time against the warnings indicated by control charts. (v) Control charts build up the reputation of the organization through customer’s satisfaction. (vi) The control chart can detect the unusual variations taking place in a process.

A

i, ii, iii only

B

i, iv, v only

C

i, ii, iii, iv, v and vi

D

iv, v and vi

Let the average temperatures in Centigrade (C) and Fahrenheit (F) be $$\overline C $$ and $$\overline F $$. If $$\overline C $$ and $$\overline F $$ are related to $$F = \frac{9}{2}C + 32,$$ then $$\overline F $$ and $$\overline C $$ have the relation

A

$$\overline F = \frac{9}{2}\overline C + 32$$

B

$$\overline F = \overline C + 32$$

C

$$\overline F = \frac{9}{2}\overline C $$

D

$$\overline F = \frac{9}{5}\overline C - 32$$

ΔABC is an isosceles triangle and $$\overline {AB} $$ = $$\overline {AC} $$ = 2a unit, $$\overline {BC} $$ = a unit. Draw $$\overline {AD} $$ ⊥ $$\overline {BC} $$ , and find the length of $$\overline {AD} $$

A

$$\sqrt {15} $$ a unit

B

$$\frac{{\sqrt {15} }}{2}$$ a unit

C

$$\sqrt {17} $$ a unit

D

$$\frac{{\sqrt {17} }}{2}$$ a unit

The Boolean expression Y = $$\overline {{\text{ABC}}} $$ D + $$\overline {{\text{AB}}} $$ CD + $$\overline {\text{A}} $$B$$\overline {\text{C}} $$ D + $$\overline {\text{A}} $$BCD reduces to

A

AB

B

D

C

$$\overline {\text{A}} $$

D

$$\overline {\text{A}} $$D

Which of the following statements relating to the sampling theory are correct?
1. The values of the statistical measures based on the sampled units are called values of statistics.
2. In the simple random sampling technique, the element of the population and the unit of the sample are different.
3. Snow-ball sampling technique is a probability based sampling technique.
4. The 'law of statistical regularity' and the 'law of inertia of large numbers' are the main bases of the sample to become representative of the population.
Choose the correct answer:

A

Both 2 and 3

B

Both 1 and 4

C

1, 2 and 3

D

2, 3 and 4

Consider the following statements in respect of acceptance:
1. In case of telephonic conversation, the contract is complete when the acceptor speaks the words of acceptance.
2. Conditional or qualified acceptance is also an acceptance.
3. Acceptance should be in the usual prescribed manner.
Which of the statements given above is/are correct?

A

1 and 2

B

2 and 3

C

3 only

D

1 and 3

Consider the below statements. (i) Quality is defined as fitness for the purpose at the lowest cost (ii) Quality is a grade of the product in appearance, performance, life, reliability, taste, odour, maintainability etc (iii) Quality is the degree to which a specified product is preferred over competing products of equivalent grade, based on the comparative test by customers, normally called as customer’s preference (iv) Quality is a measure of the degree of the general excellence of the product (v) Quality may be defined as the degree of conformance to design and specifications Which of the above statements are correct?

A

i, ii

B

i, v, iv

C

i, ii, iii, iv, v

D

ii, iv, iii

This is the field of statistical quality control (S.Q.C.) or statistical product control (S.P.C.). These techniques should be second nature to any scientist, but they have met with opposition in production ease where they are treated as one more fad brought down by management. What is the topic of discussion?

A

SPC

B

Cost versus benefit of SQC

C

Pareto charts

D

Effective communication