Tamilnadu State Board New Syllabus Samacheer Kalvi 12th Business Maths Guide Pdf Chapter 9 Applied Statistics Ex 9.4 Text Book Back Questions and Answers, Notes.

## Tamilnadu Samacheer Kalvi 12th Business Maths Solutions Chapter 9 Applied Statistics Ex 9.4

Question 1.

A time series is a set of data recorded

(a) Periodically

(b) Weekly

(c) successive points of time

(d) all the above

Solution:

(d) all the above

Question 2.

A time series consists of

(a) Five components

(b) Four components

(c) Three components

(d) Two components

Solution:

(b) Four components

Question 3.

The components of a time series which is attached to short term fluctuation is

(a) Secular trend

(b) Seasonal variations

(c) Cyclic variation

(d) Irregular variation

Solution:

(d) Irregular variation

Question 4.

Factors responsible for seasonal variations are

(a) Weather

(b) Festivals

(c) Social customs

(d) All the above

Solution:

(d) All the above

Question 5.

The additive model of the time series with the components T, S, C and I is

(a) y = T + S + C × I

(b) y = T + S × C × I

(c) y = T + S + C + I

(d) y = T + S × C + I

Solution:

(c) y = T + S + C + I

Question 6.

Least square method of fitting a trend is

(a) Most exact

(b) Least exact

(c) Full of subjectivity

(d) Mathematically unsolved

Solution:

(a) Most exact

Question 7.

The value of ‘b’ in the trend line y = a + bx is

(a) Always positive

(b) Always negative

(c) Either positive or negative

(d) Zero

Solution:

(c) Either positive or negative

Question 8.

The component of a time series attached to long term variation is trended as

(a) Cyclic variation

(b) Secular variations

(c) Irregular variation

(d) Seasonal variations

Solution:

(b) Secular variations

Question 9.

The seasonal variation means the variations occurring with in

(a) A number of years

(b) within a year

(c) within a month

(d) within a week

Solution:

(b) within a year

Question 10.

Another name of consumer’s price index number is:

(a) Whole-sale price index number

(b) Cost of living index

(c) Sensitive

(d) Composite

Solution:

(b) Cost of living index

Question 11.

Cost of living at two different cities can be compared with the help of

(a) Consumer price index

(b) Value index

(c) Volume index

(d) Un-weighted index

Solution:

(a) Consumer price index

Question 12.

Laspeyre’s index = 110, Paasche’s index = 108, then Fisher’s Ideal index is equal to:

(a) 110

(b)108

(c) 100

(d) 109

Solution:

(d) 109

Hint:

p²_{01} = 110; p^{p}_{01} = 108

Fisher’s Ideal Index = \(\sqrt { 110×108 }\) = \(\sqrt { 11880 }\) = 108.99 = 109

Question 13.

Most commonly used index number is:

(a) Volume index number

(b) Value index number

(c) Price index number

(d) Simple index number

Solution:

(c) Price index number

Question 14.

Consumer price index are obtained by:

(a) Paasche’s formula

(b) Fisher’s ideal formula

(c) Marshall Edgeworth formula

(d) Family budget method formula

Solution:

(d) Family budget method formula

Question 15.

Which of the following Index number satisfy the time reversal test?

(a) Laspeyre’s Index number

(b) Paasche’s Index number

(c) Fisher Index number

(d) All of them.

Solution:

(c) Fisher Index number

Question 16.

While computing a weighted index, the current period quantities are used in the:

(a) Laspeyre’s method

(b) Paasche’s method

(c) Marshall Edgeworth method

(d) Fisher’s ideal method

Solution:

(b) Paasche’s method

Question 17.

The quantities that can be numerically measured can be plotted on a

(a) p – chart

(b) c – chart

(c) x bar chart

(d) np – chart

Solution:

(c) x bar chart

Question 18.

How many causes of variation will affect the quality of a product?

(a) 4

(b) 3

(c) 2

(d) 1

Solution:

(c) 2

Question 19.

Variations due to natural disorder is known as

(a) random cause

(b) non-random cause

(c) human cause

(d) all of them

Solution:

(a) random cause

Question 20.

The assignable causes can occur due to

(a) poor raw materials

(b) unskilled labour

(c) faulty machines

(d) all of them

Solution:

(d) all of them

Question 21.

A typical control charts consists of

(a) CL, UCL

(b) CL, LCL

(c) CL, LCL, UCL

(d) UCL, LCL

Solution:

(c) CL, LCL, UCL

Question 22.

\(\bar { x}\) chart is a

(a) attribute control chart

(b) variable control chart

(c) neither Attribute nor variable control chart

(d) both Attribute and variable control chart

Solution:

(b) variable control chart

Question 23.

R is calculated using

(a) x_{max} – x_{min}

(b) x_{min} – x_{max}

(c) \(\bar { x}\)_{max} – \(\bar { x}\)_{min}

(d) \(\bar {\bar x}\)_{max} – \(\bar {\bar x}\)_{min}

Solution:

(a) x_{max} – x_{min}

Question 24.

The upper control limit for x chart is given by

(a) \(\bar { x}\) + A_{2}\(\bar { R}\)

(b) \(\bar {\bar x}\) + A_{2}R

(c) \(\bar {\bar x}\) + A_{2}\(\bar { R}\)

(d) \(\bar { x}\) + A_{2}\(\bar {\bar R}\)

Solution:

(c) \(\bar {\bar x}\) + A_{2}\(\bar { R}\)

Question 25.

The LCL for R chart is given by

(a) D_{2}\(\bar { x}\)

(b) D_{2}\(\bar {\bar R}\)

(c) D_{3}\(\bar {\bar R}\)

(d) D_{3}\(\bar { x}\)

Solution:

(d) D_{3}\(\bar { x}\)