Exercise 8.3 - Chapter 8 Sampling Techniques and Statistical Inference 12th Maths Guide Guide Samacheer Kalvi Solutions - SaraNextGen [2024-2025]

Updated On May 15, 2024

By SaraNextGen

Ex $8.3$
Choose the correct answer.
Question 1.
A may be finite or infinite according to as the number of observations or items in it is finite or infinite.
(a) Population
(b) census
(c) parameter
(d) none of these
Answer:
(a) Population
Question 2.
A __ of statistical individuals in a population is called a sample.
(a) Infinite set
(b) finite subset
(c) finite set
(d) entire set
Answer:
(b) finite subset
Question 3 .
A finite subset of statistical individuals in a population is called
(a) a sample
(b) a population
(c) universe
(d) census
Answer:
(a) a sample
Question 4.
Any statistical measure computed from sample data is known as
(a) parameter
(b) statistic
(c) infinite measure
(d) uncountable measure
Answer:
(b) statistic

Question 5.
A __________ is one where each item in the universe has an equal chance of known opportunity of being selected.
(a) Parameter
(b) random sample
(c) statistic
(d) entire data
Answer:
(b) random sample
Question 6.
A random sample is a sample selected in such a way that every item in the population has an equal chance of being included
(a) Harper
(b) Fisher
(c) Karl Pearson
(d) Dr. Yates
Answer:
(a) Harper
Question 7.
Which one of the following is probability sampling?
(a) purposive sampling
(b) judgement sampling
(c) simple random sampling
(d) Convenience sampling
Answer:
(c) simple random sampling
Question 8.
In simple random sampling from a population of units, the probability of drawing any unit at the first draw is
(a) $\frac{n}{N}$
(b) $\frac{1}{N}$
(c) $\frac{N}{n}$
(d) 1
Answer:
(b) $\frac{1}{N}$

Question 9.
In the heterogeneous groups are divided into homogeneous groups.
(a) Non-probability sample
(b) a simple random sample
(c) a stratified random sample
(d) systematic random sample
Answer:
(c) a stratified random sample
Question 10.
Errors in sampling are of
(a) Two types
(b) three types
(c) four types
(d) five types
Answer:
(a) Two types
Question 11.
The method of obtaining the most likely value of the population parameter using statistic is called
(a) estimation
(b) estimator
(c) biased estimate
(d) standard error
Answer:
(a) estimation
Question 12.
An estimator is a sample statistic used to estimate a _____________
(a) population parameter
(b) biased estimate
(c) sample size
(d) census
Answer:
(a) population parameter

Question 13.

______________ is a relative property, which states that one estimator is efficient relative to another.
(a) efficiency
(b) sufficiency
(c) unbiased
(d) consistency
Answer:
(a) efficiency
Question 14.
If probability $\mathrm{P}[|\bar{\theta}-\theta|<\varepsilon] \rightarrow 1 \mu$ as $\mathrm{n} \rightarrow \infty$ for any positive $\varepsilon$ then $\bar{\theta}$ is said to estimator of $\theta$.
(a) efficient
(b) sufficient
(c) unbiased
(d) consistent
Answer:
(d) consistent
Question 15.
An estimator is said to be _______________ if it contains all the information in the data about the parameter it estimates.
(a) efficient
(b) sufficient
(c) unbiased
(d) consistent
Answer:
(b) sufficient
Question 16.
An estimate of a population parameter given by two numbers between which the parameter would be expected to lie is called an _______________ interval estimate of the parameter.
(a) point estimate
(b) interval estimation
(c) standard error
(d) confidence
Answer:
(b) interval estimation

Question 17.
A is a statement or an assertion about the population parameter.
(a) hypothesis
(b) statistic
(c) sample
(d) census
Answer:
(a) hypothesis
Question 18.
Type I error is ____________
(a) Accept $\mathrm{H}_0$ when it is true
(b) Accept $\mathrm{H}_0$ when it is false
(c) Reject $\mathrm{H}_0$ when it is true
(d) Reject $\mathrm{H}_0$ when it is false
Answer:
(c) Reject $\mathrm{H}_0$ when it is true
Question 19.
Type II error is _____
(a) Accept $\mathrm{H}_0$ when it is wrong
(b) Accept $\mathrm{H}_0$ when it is true
(c) Reject $\mathrm{H}_0$ when it is true
(d) Reject $\mathrm{H}_0$ when it is false
Answer:
(a) Accept $\mathrm{H}_0$ when it is wrong
Question 20.
The standard error of sample mean is _____
(a) $\frac{\sigma}{\sqrt{2 n}}$
(b) $\frac{\sigma}{n}$
(c) $\frac{\sigma}{\sqrt{n}}$
(d) $\frac{\sigma^2}{\sqrt{n}}$
Answer:
(c) $\frac{\sigma}{\sqrt{n}}$