List of top Statistical Science Questions

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.
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
If probability of type II error of a statistical test is 0.2 then power of the test is
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 the following is always true?
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 $Y$ 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?
Number of grains per panicle is a
The variance of sample mean of a sample of size $n$ from a population with $N$ units under SRSWOR is
Which of following random variable is always non-negative?
Randomization in designed experiments ensures that
A two-independent sample t-test statistic based on sample sizes 15 and 18 with equal population variances follows
The range of correlation coefficient is
The difference A - B between two sets A and B is equal to
Type II error in testing of hypothesis refers to
In simple linear regression $Y = \beta_0 + \beta_1 X + \epsilon$, $\beta_0$ and $\beta_1$ are known as
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
NCBI stands for
If the yield of paddy from 10 different fields are 7.1, 7.2, 7.0, 5.2, 6.5, 7.1, 7.8, 6.6, 7.1, 6.7 then the modal value is
Which of the following has no units?