Exercise 9.4 - Chapter 9 Applied Statistics 12th Maths Guide Guide Samacheer Kalvi Solutions - SaraNextGen [2024-2025]

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On April 24, 2024, 11:35 AM

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Choose the correct answer.
Question 1.
A time series is a set of data recorded
(a) Periodically
(b) Weekly
(c) Successive points of time
(d) all the above
Answer:
(d) all the above
Question 2.
A time series consists of
(a) Five components
(b) Four components
(c) Three components
(d) Two components
Answer:
(b) Four components
Question 3.
The components of a time series which is attached to short term fluctuation are
(a) Secular trend
(b) Seasonal variations
(c) Cyclic variation
(d) Irregular variation
Answer:
(d) Irregular variation
Question 4.
Factors responsible for seasonal variations are
(a) Weather
(b) Festivals
(c) Social customs
(d) All the above
Answer:

(d) All the above

Question 5.
The additive model of the time series with the components $\mathrm{T}, \mathrm{S}, \mathrm{C}$ and $\mathrm{I}$ is
(a) $\mathrm{y}=\mathrm{T}+\mathrm{S}+\mathrm{C} \times \mathrm{I}$
(b) $y=T+S \times C \times I$
(c) $y=T+S+C+I$
(d) $y=T+S \times C+I$
Answer:
(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
Answer:
(a) Most exact
Question 7.
The value of ' $b$ ' in the trend line $y=a+b x$ is
(a) Always positive
(b) Always negative
(c) Either positive or negative
(d) Zero
Answer:
(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
Answer:
(b) Secular variations

Question 9.
The seasonal variation means the variations occurring within
(a) A number of years
(b) within a year
(c) within a month
(d) within a week
Answer:
(b) within a year
Question 10.
Another name of the consumer's price index number is
(a) Whole-sale price index number
(b) Cost of living index
(c) Sensitive
(d) Composite
Answer:
(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
Answer:
(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
Answer:
(d) 109
Hint:
Fisher's Index $=\sqrt{110 \times 108}=109$

Question 13.
Most commonly used index number is
(a) Volume index number
(b) Value index number
(c) Price index number
(d) Simple index number
Answer:
(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
Answer:
(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's Index number
(d) All of them
Answer:
(c) Fisher's 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
Answer:
(b) Paasche's method

Question 17.
The quantities that can be numerically measured can be plotted on a
(a) $\mathrm{p}$ - chart
(b) c-chart
(c) $x$ bar chart
(d) $n \mathrm{p}$ - chart
Answer:
(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
Answer:
(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
Answer:
(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
Answer:
(d) all of them

Question 21.
A typical control charts consists of
(a) CL, UCL
(b) $\mathrm{CL}, \mathrm{LCL}$
(c) CL, LCL, UCL
(d) UCL, LCL
Answer:
(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
Answer:
(b) variable control chart
Question 23.
$\mathrm{R}$ is calculated using
(a) $x_{\max }-x_{\min }$
(b) $x_{\min }-x_{\max }$
(c) $\bar{x}_{\max }-\bar{x}_{\min }$
(d) $\bar{x}_{\max }-\bar{x}_{\min }$
Answer:
(a) $x_{\max }-x_{\min }$
Question 24.
The upper control limit for $\bar{X}$ chart is given by
(a) $\overline{\mathrm{X}}+\mathrm{A}_2 \overline{\mathrm{R}}$

Answer:

Question 25.
The LCL for $\mathrm{R}$ chart is given by
(a) $\mathrm{D}_2 \overline{\mathrm{R}}$
(b) $\mathrm{D}_2 \overline{\bar{R}}$
(c) $\mathrm{D}_3 \overline{=}$
(d) $\mathbf{D}_3 \overline{\mathbf{R}}$
Answer:
(d) $\mathbf{D}_3 \overline{\mathbf{R}}$