Printed Pages: 6
16
NBT-301
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[Time: 3 hours]
[Total Marks: 100]
Q.1 (2×10=20)
- 1959 1960 1961 1962 1963 200 350 450 550 600
- Define Binomial distribution.
- 25, 30, 21, 55, 47, 10, 15, 17, 45, 35
- Define statistical quality control.
- Define skewness and Kurtosis.
- What is the probability that a leap year selected at random will have 53 Sunday?
- Explain parametric & non-parametric test.
- In a binomial distribution, the mean and S.D. are 12 and 2 respectively, find n and p.
- What do you mean by internal and external data?
- Write down the Empirical relation and find out the mean, if mode=64.2 and median=66.33.
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Attempt any five questions from this section. (10×5=50)
Q.2 Variance of x=9
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Regression equation: 8x-10y+66=0, 40x-18y=214
To find out
(i)
(ii) the standard deviations of y.
Q.3 (i) Define Sign test.
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Sx = 60, S?² = 4160, S y = 40, S y² = 1720, Sxy = 1150, N = 10
Q.4 Obtain regression plane by using multiple linear regression of the following data:
| X | y | Z |
|---|---|---|
| 1 | 12 | 0 |
| 2 | 18 | 1 |
| 3 | 24 | 2 |
| 4 | 30 | 3 |
Q.5 (Given FirstRanker.com 113, 0.05 =1.77)
Q.6
| Class | Frequency |
|---|---|
| 0-9 | 8 |
| 10-19 | 32 |
| 20-29 | 142 |
| 30-39 | 216 |
| 40-49 | 240 |
| 50-60 | 143 |
Q.7 Give that X20.05(1) = 3.841
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| Skilled | Unskilled | Total | |
|---|---|---|---|
| Male | 40 | 20 | 60 |
| Female | 10 | 30 | 40 |
| Total | 50 | 50 | 100 |
Q.8 What is Latin square Design?
Q.9 What do you understand by two way analysis of variants?
Q.10 (i) A,B and C have the same selling ability.
| Salesman | 1st Week | 2nd Week | 3rd Week | 4th Week |
|---|---|---|---|---|
| A | 16 | 21 | 18 | 25 |
| B | 22 | 20 | 15 | 26 |
| C | 25 | 24 | 16 | 20 |
Q.11 (i)
| Item | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
|---|---|---|---|---|---|---|---|---|---|---|
| Life (hr) | 4.2 | 4.6 | 3.9 | 4.1 | 5.2 | 3.8 | 3.9 | 4.3 | 4.4 | 5.6 |
(ii)
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| Deaths | 0 | 1 | 2 | 3 | 4 |
|---|---|---|---|---|---|
| Frequency | 122 | 60 | 15 | 2 | 1 |
Q.12 (i)
| x | 68 | 64 | 75 | 50 | 64 | 80 | 75 | 40 | 55 | 64 |
|---|---|---|---|---|---|---|---|---|---|---|
| y | 62 | 58 | 58 | 45 | 81 | 60 | 68 | 48 | 50 | 70 |
Q.13(i)
| Sample no. | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
|---|---|---|---|---|---|---|---|---|---|---|
| No. of defectives | 4 | 2 | 3 | 3 | 4 | 4 | 4 | 2 | 3 | 1 |
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This download link is referred from the post: AKTU B-Tech Last 10 Years 2010-2020 Previous Question Papers || Dr. A.P.J. Abdul Kalam Technical University