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MS08 IGNOU Assignment 2023

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(Last date of submission for January 2023 session is 30th April, 2023 and for July 2023 sessions is 31st October, 2023)

1. A car is purchased for Rs. 80,000. Depreciation is calculated at 5% per annum for the first 3″years and 10% per annum for the next 3 years. Find the money value of the car after a period”of 6 years.
2. “Whether to use primary data or secondary data depends on several factors.” Explain, in view”of the statement, the various factors affecting the choice of data.
3. A multiple choice quiz has 200 questions, each with 4 possible answers, out of which only”one is correct. What is the probability (using normal approximation to binomial distribution)”that sheer guesswork yields 25 to 30 correct answers for 80 problems (out of 200 problems)”about which the student has no knowledge?
4. What do you understand by sampling? What are the two types of sampling? Name them.”Explain in brief any one type of sampling.
5. “Time series analysis is one of the most powerful methods in use, especially for short-term”forecasting purposes.” Comment on the statement.

Old

1. Comment on the statement “Statistics is the science and art of handling aggregate of facts – observing, enumerating, recording, classifying and other wise systematically treating them.

2. Calculate Spearman’s coefficient of ranks correlation from the following data:
X : 53 98 95 81 75 61 59 55
Y : 47 25 32 37 30 40 39 45

3. Suppose that a day’s production schedule calls for 9000 items. Three machines A, B and C each with a daily production capacity of 4000 have the probability that an item is defective on them as 1, 2 and 4 percent respectively. On a given day 4000 items were produced on A, 4000 on B and 1000 on C. One item is selected at random and found defective. What is the probability that it was produced on either A or B?

4. Two types of batteries are tested for their length of life and the following data are obtained:
No. of samples Mean life (hrs.) Sample Variance
Type A 9 600 121 Type B 8 640 144
Is there a significant difference in the two means? (t for 15 df at 5% level= 2.131)

5. Write short notes on:
(1) Normal Distribution
(2) Level of significance
(3) Degree of freedom

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IGNOU MS08 Assignment old question

Q1. The total cost, C(x) associated with producing and marketing x units of an item is given by

C (x) = 0.005x3 -0.02x2 -30x +3000

Find (i) Total cost when output is 4 units.

(ii) Average cost of output of 10 units.

(iii) Marginal cost when output is 3 units.

 

Q2. “The success of collecting data through a questionnaire depends mainly on how skillfully and imaginatively the questionnaire has been designed”. Explain some important points to be kept in mind while drafting a questionnaire.

 

Q3. In a society of 5000 people, 1200 are above 30 years of age and 3000 are female. Out of the 1200 who are above 30, 200 are female. Suppose after a person is chosen you are told that the person is a female. What is the probability that she is above 30?

 

Q4. A sample size 25 is picked up at random from a population which is normally distributed with a mean of 100 and variance of 36. Calculate:-

(a) Pr{ .X ≤99}

(b) Pr{98 ≤ X ≤100}

 

Q5. “Economic or business oriented time series are made up of various components”. What are those components and also explain the relationship between them.

IGNOU Solution for December 2021MS08 IGNOU Assignment 2023
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