List of top Questions asked in ICAR AIEEA (PG)- 2021

Which one of the following probability mass function is impossible?

Two means are compared using t-test to assess the statistical significance of the difference between two samples. Size of the first sample is 17 and the size of the second sample is 13. How many degrees of freedom are associated with the critical t-value?

A group consists of 9 students from 3 disciplines. Out of the 9 students, 4 are from Statistics, 3 are from Economics and 2 are from Chemistry. Three students are selected randomly. What is the probability that, out of the selected students 2 are from Statistics?

Testing $H_0: \mu = 0$ vs $H_1: \mu > 0$ is a

Let X be a Poisson variate with $P(X = 3) = P(X = 4)$. Then $P(X \neq 0)$ is

The variance of 1,2,3,4,5,6,7,8,9 and 10 is

Semi inter-quartile range is given by

Given below are two statements.

Statement 1: The harmonic mean of \(n\) numbers is the reciprocal of the arithmetic mean of the reciprocals of the numbers.

Statement 2: Geometric mean is the arithmetic mean of harmonic mean and arithmetic mean.

In light of the above statements, choose the correct answer from the options given below.

The average of the 7 numbers 7, 9, 12, x, 5, 4, 11 is 9. The missing number is

If $Y$ follows Normal distribution with mean 4 and variance 16, then the standard Normal deviate is

To test $H_0: \mu = 0$ vs $H_1: \mu \neq 0$ when the population variance is known, which of the following test is used?

If probability of type II error of a statistical test is 0.2 then power of the test is

Which of the following is always true?

In a simple bar diagram, the heights of the bars are proportional to

Standard deviation of the numbers 2,2,2,2,2,2 is

Which of following random variable is always non-negative?

Number of grains per panicle is a

If $Y$ is a random variable with variance 9, then Variance of $3Y - 9$ is

Which of the following design(s) is/are advocated when experimental units are homogeneous?

The variance of sample mean of a sample of size $n$ from a population with $N$ units under SRSWOR is

Randomization in designed experiments ensures that

The procedure of decomposing the overall variation in the observed responses in an experiment into different components attributable to various sources of variation is known as

In simple linear regression $Y = \beta_0 + \beta_1 X + \epsilon$, $\beta_0$ and $\beta_1$ are known as

The difference A - B between two sets A and B is equal to

Type II error in testing of hypothesis refers to