12th Business Mathematics and Statistics - Book Back Answers - Chapter 8 - English Medium Guides

 

 

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Tamil Nadu Board 12th Standard Business Mathematics and Statistics - Chapter 8: Book Back Answers and Solutions

    This post covers the book back answers and solutions for Chapter 8 – Business Mathematics and Statistics from the Tamil Nadu State Board 12th Standard Business Mathematics and Statistics textbook. These detailed answers have been carefully prepared by our expert teachers at KalviTips.com.

    We have explained each answer in a simple, easy-to-understand format, highlighting important points step by step under the relevant subtopics. Students are advised to read and memorize these subtopics thoroughly. Once you understand the main concepts, you’ll be able to connect other related points with real-life examples and confidently present them in your tests and exams.

    By going through this material, you’ll gain a strong understanding of Business Mathematics and Statistics  Chapter 8 along with the corresponding book back questions and answers (PDF format).

Question Types Covered:

• 1 Mark Questions: Choose the correct answer, Fill in the blanks, Identify the correct statement, Match the following 
• 2 Mark Questions: Answer briefly 
• 3, 4, and 5 Mark Questions: Answer in detail

All answers are presented in a clear and student-friendly manner, focusing on key points to help you score full marks.

All the best, Class 12 students! Prepare well and aim for top scores. Thank you!

Chapter 8:  

I. Multiple Choice Questions

1. A __________ may be finite or infinite according as the number of observations or items in it is finite or infinite.
(a) Population 

(b) census
(c) parameter 

(d) none of these
Answer Key:
(a) Population

 
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 Key:
(b) finite subset

 
3. A finite subset of statistical individuals in a population is called __________
(a) a sample 

(b) a population
(c) universe 

(d) census
Answer Key:
(a) a sample 

 
4. Any statistical measure computed from sample data is known as __________
(a) parameter 

(b) statistic
(c) infinite measure 

(d) uncountable
Measure
Answer Key:
(b) statistic

 

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 Key:
(b) random sample

 
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 Key:

(a) Harper 

  
7. Which one of the following is probability sampling
(a) purposive sampling
(b) judgment sampling
(c) simple random sampling
(d) Convenience sampling
Answer Key:
(c) simple random sampling

 
8. In simple random sampling from a population of N 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 Key:
(b) $\frac{1}{N}$

$\frac{ }{}$
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 Key:
(c) a stratified random sample

 
10. Errors in sampling are of
(a) Two types 

(b) three types
(c) four types 

(d) five types
Answer Key:
(a) Two types

 
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 Key:
(a) estimation 

 
12. An estimator is a sample statistic used to estimate a
(a) population parameter
(b) biased estimate
(c) sample size
(d) census
Answer Key:
(a) population parameter

 
13. __________ is a relative property, which states that one estimator is efficient relative to another.
(a) efficiency 

(b) sufficiency
(c) unbiased 

(d) consistency
Answer Key:

(a) efficiency

14. If probability $\mathbf{P}\mathbf{\left[}\mathbf{\right|}\stackrel{\mathit{ᴖ}}{\mathbf{\theta }}-\mathrm{\theta }|<\mathrm{\epsilon }]$ → 1 as n → ∞ , for any positive $\mathrm{\epsilon }$ then $\stackrel{ᴖ}{\theta }$ is said to __________ estimator of $\theta$ 

(a) efficient 

(b) sufficient
(c) unbiased 

(d) consistent
Answer Key:

(d) consistent

  
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 Key:
(b) sufficient

 
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 Key:
(b) interval estimation

 
17. A __________ is a statement or an assertion about the population parameter.
(a) hypothesis 

(b) statistic
(c) sample 

(d) census
Answer Key:

(a) hypothesis

 
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 Key:
( c) Reject ${\mathrm{H}}_0$ when it is true

 
19. Type II error is
(a) Accept ${\mathrm{H}}_0$ when it is wrong
(b) Accepts ${\mathrm{H}}_0$ when it is true
(c) Reject ${\mathrm{H}}_0$ when it is true
(d) Reject ${\mathrm{H}}_0$ when it is false
Answer Key:
(a) Accept ${\mathrm{H}}_0$ when it is wrong

 
20. The standard error of sample mean is
(a) $\frac{\mathrm{\sigma }}{\sqrt{2\mathrm{n}}}$ 

(b) $\frac{\mathrm{\sigma }}{\mathrm{n}}$
(c) $\frac{\mathrm{\sigma }}{\sqrt{\mathrm{n}}}$ 
(d) $\frac{{\mathrm{\sigma }}^2}{\sqrt{\mathrm{n}}}$
Answer Key:
(c) $\frac{\mathrm{\sigma }}{\sqrt{\mathrm{n }}}$

II. Short answer questions

12th BM

III. Long answer questions

12th BM