Here In this post we will discuss the important questions of the Sample distribution of statistical techniques-III . These questions will help you in your mid semesters exams or the semester exams or any other competitive exams. And this will also help in your upcoming AKTU semester exam.
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1. The mean of the f – distribution is equal to ___________
a) v2 / (v2 – 2) for v2 > 2
b) v2 / (v2 – 2)2 for v2 > 2
c) v2 / (v2 – 2)3 for v2 > 2
d) v2 / (v2 – 2)-1 for v2 > 2
Answer: a
Explanation: The mean of the distribution is equal to v2 / (v2 – 2) for v2 > 2. v2 denotes the degree of freedom of F-Distribution.
2. Variance is equal to [(v1 + v2 – 2)] / [v1 * (v2 – 2)2 * (v2 – 4)] for v2 > 4 for a f-Distribution.
a) True
b) False
Answer: b
Explanation: Variance is equal to [2 * v22 * (v1 + v2 – 2)] / [ v1 * (v2 – 2)2 * (v2 – 4)] for v2 > 4 for a f-Distribution where v1 and v2 denote the degrees of freedom of f-Distribution.
3. Which of the following distributions is Continuous?
a) Binomial Distribution
b) Hyper-geometric Distribution
c) F-Distribution
d) Poisson Distribution
Answer: c
Explanation: Binomial, Poisson and Hyper geometric distributions are Discrete Distributions. Only F- Distribution is Continuous Distribution in the given Distributions.
4. Which of the following distributions is used to compare two variances?
a) T – Distribution
b) F – Distribution
c) Normal Distribution
d) Poisson Distribution
Answer: b
Explanation: F – Distribution is used when we require for comparing two variances. It uses a f-Test to compare two values of variances.
5. F-Distribution cannot take negative values.
a) True
b) False
Answer: a
Explanation: The value of the F-distribution is always positive, or zero. The variances are the square of the deviations and hence cannot assume negative values. Its value lies between 0 and ∞.
6. There is only 1 parameter in F-Distribution.
a) True
b) False
Answer: b
Explanation: There are 2 parameters in F-Distribution v1 and v2. They are called degrees of freedom of F-Distribution.
7. Find the Expectation for a F- Distribution variable with v1 = 7 and v2 = 8.
a) 4/7
b) 4/6
c) 4/3
d) 4/5
Answer: c
Explanation: The Expectation for F-Distribution is given as
E(X) = v2 / (v2 – 2) for v2 > 2
Hence, E(X) = 8 / (8-2)
E(X) = 4/3.
because Expected value is equal to mean.
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You must have to check this:-
Top-100 multiple choice questions of statistical techniques-III (Unit-5))
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