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Contents

- 1 IGNOU EEC 13 Solved Assignment 2022-23
- 2 A. Long Answer Questions.
- 3 1. (a) Bring out the salient features of normal distribution. What is the need for a standard normal distribution?
- 4 (b) Find out the area under the standard normal curve for each of the following (use z-table). Sketch each one of them. (i) between z = 0 and z = – 0.78 (ii) between z = – 0.62 and z = 0 (iii) between z = – 0.45 and z = 0.87 (iv) between z = 0.5 and z = 1.5 (v) to the right of z = – 1.33.
- 5 2. Differentiate between seasonal variation and cyclical fluctuations in time series data. Outline the steps of the ratio-to-trend method.
- 6 B. Medium Answer Questions 3 x 10= 30 marks
- 7 3) Bring out the major properties of binomial distribution. Mention certain important uses of this distribution.
- 8 4) a) Define correlation coefficient. What are its properties? b) Find out the correlation coefficient from the following data. 5) Describe the factor reversal test and time reversal test in the context of index number. Does any index number formula satisfy both the above tests?
- 9 IGNOU EEC 13 Solved Assignment 2022-23
- 10 GET IGNOU Handwritten Hardcopy , WhatsApp – 8130208920
- 11 C. Short Answer Questions 2 x 15 = 30 marks
- 12 7) Write short notes on the following in about 100 words each: (a) Contingency table and chi-squared test (b) Properties of a good estimator (c) Measurement of skewness
- 13 8) Differentiate between the following: (a) Estimator and estimate (b) Type I and Type II errors in hypothesis testing (c) Sampling error and non-sampling error
- 14 Get IGNOU EEC 13 Solved Assignment 2022-23 Download Free Now here from this website.
- 15
- 16 GUIDELINES FOR IGNOU Assignments 2022-23
- 17 IGNOU Assignment Front Page
- 18 EEC 13 Handwritten Assignment 2022-23

## IGNOU EEC 13 Solved Assignment 2022-23

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**Submission Date : **

**31st March 2033 (if enrolled in the July 2033 Session)****30th Sept, 2033 (if enrolled in the January 2033 session).**

Answer all the questions

## A. Long Answer Questions.

## 1. (a) Bring out the salient features of normal distribution. What is the need for a

standard normal distribution?

All kinds of variables in natural and social sciences are normally or approximately normally distributed. Height, birth weight, reading ability, job satisfaction, or SAT scores are just a few examples of such variables.

Because normally distributed variables are so common, many statistical tests are designed for normally distributed populations.

Understanding the properties of normal distributions means you can use inferential statistics to compare different groups and make estimates about populations using samples.

**What are the properties of normal distributions?**

Normal distributions have key characteristics that are easy to spot in graphs:

- The mean, median and mode are exactly the same.
- The distribution is symmetric about the mean—half the values fall below the mean and half above the mean.
- The distribution can be described by two values: the mean and the standard deviation.

The mean is the location parameter while the standard deviation is the scale parameter.

The mean determines where the peak of the curve is centered. Increasing the mean moves the curve right, while decreasing it moves the curve left.

The standard deviation stretches or squeezes the curve. A small standard deviation results in a narrow curve, while a large standard deviation leads to a wide curve.

**Empirical rule**

The **empirical rule**, or the 68-95-99.7 rule, tells you where most of your values lie in a normal distribution:

- Around 68% of values are within 1 standard deviation from the mean.
- Around 95% of values are within 2 standard deviations from the mean.
- Around 99.7% of values are within 3 standard deviations from the mean.

The empirical rule is a quick way to get an overview of your data and check for any outliers or extreme values that don’t follow this pattern.

If data from small samples do not closely follow this pattern, then other distributions like the t-distribution may be more appropriate. Once you identify the distribution of your variable, you can apply appropriate statistical tests.

**Central limit theorem**

The central limit theorem is the basis for how normal distributions work in statistics.

In research, to get a good idea of a population mean, ideally you’d collect data from multiple random samples within the population. A **sampling distribution of the mean** is the distribution of the means of these different samples.

The central limit theorem shows the following:

- Law of Large Numbers: As you increase sample size (or the number of samples), then the sample mean will approach the population mean.
- With multiple large samples, the sampling distribution of the mean is normally distributed, even if your original variable is not normally distributed.

Parametric statistical tests typically assume that samples come from normally distributed populations, but the central limit theorem means that this assumption isn’t necessary to meet when you have a large enough sample.

You can use parametric tests for large samples from populations with any kind of distribution as long as other important assumptions are met. A sample size of 30 or more is generally considered large.

For small samples, the assumption of normality is important because the sampling distribution of the mean isn’t known. For accurate results, you have to be sure that the population is normally distributed before you can use parametric tests with small samples.

## (b) Find out the area under the standard normal curve for each of the following

(use z-table). Sketch each one of them.

(i) between z = 0 and z = – 0.78

(ii) between z = – 0.62 and z = 0

(iii) between z = – 0.45 and z = 0.87

(iv) between z = 0.5 and z = 1.5

(v) to the right of z = – 1.33.

## 2. Differentiate between seasonal variation and cyclical fluctuations in time series data.

Outline the steps of the ratio-to-trend method.

## B. Medium Answer Questions 3 x 10= 30 marks

## 3) Bring out the major properties of binomial distribution. Mention certain important

uses of this distribution.

## 4) a) Define correlation coefficient. What are its properties?

b) Find out the correlation coefficient from the following data.

5) Describe the factor reversal test and time reversal test in the context of index number. Does any index number formula satisfy both the above tests?

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**IGNOU EEC 13 Solved Assignment 2022-2023 We provide handwritten PDF and Hardcopy to our IGNOU and other university students. There are several types of handwritten assignment we provide all Over India. EEC 13 ELEMENTARY STATISTICAL METHODS AND SURVEY TECHNIQUES Solved ****Assignment 2022-23 Download Free We are genuinely work in this field for so many time. You can get your assignment done – 8130208920**

## IGNOU EEC 13 Solved Assignment 2022-23

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## C. Short Answer Questions 2 x 15 = 30 marks

## 7) Write short notes on the following in about 100 words each:

(a) Contingency table and chi-squared test

(b) Properties of a good estimator

(c) Measurement of skewness

## 8) Differentiate between the following:

(a) Estimator and estimate

(b) Type I and Type II errors in hypothesis testing

(c) Sampling error and non-sampling error

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**IGNOU Instructions for the EEC 13 ELEMENTARY STATISTICAL METHODS AND SURVEY TECHNIQUES ****Solved Assignment 2022-23**

IGNOU EEC 13 Solved Assignment 2022-2023 Download Free Before attempting the assignment, please read the following instructions carefully.

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**IGNOU EEC 13 Solved Assignment 2022-23** You will find it useful to keep the following points in mind:

- Planning: Read the questions carefully. IGNOU EEC 13 Assignment 2022-23 Download Free Download PDF Go through the units on which they are based. Make some points regarding each question and then rearrange these in a logical order. And please write the answers in your own words. Do not reproduce passages from the units.
- Organisation: Be a little more selective and analytic before drawing up a rough outline of your answer. In an essay-type question, give adequate attention to your introduction and conclusion. IGNOU EEC 13 Solved Assignment 2022-2023 Download Free Download PDF The introduction must offer your brief interpretation of the question and how you propose to develop it. The conclusion must summarise your response to the question. In the course of your answer, you may like to make references to other texts or critics as this will add some depth to your analysis.
- Presentation: IGNOU EEC 13 Solved Assignment 2022-2023 Download Free Download PDF Once you are satisfied with your answers, you can write down the final version for submission, writing each answer neatly and underlining the points you wish to emphasize.

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**EEC 13 Handwritten Assignment 2022-23**

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