List of top Statistics Questions on Sampling Theory

In a randomized block design with one factor having 5 levels and another factor having 5 levels, the degree of freedom for the error sum of squares are equal to

To test whether two different skin creams A and B have different effects on the human body, $n$ persons were enrolled in a clinical trial. Then cream A was applied to one arm and cream B to the other arm of each of the $n$ randomly selected persons. What type of design is this?

The following two statements are about the use of stratified sampling for finite population:

Assertion (I): Sampling error of an estimator can always be reduced by using stratified sampling following principle of stratification.

Reason (II): Stratified sampling under optimal allocation for a fixed sample size reduces the mean square error of the estimator.

Which of the following is the correct explanation?

Which of the following is the biggest advantage of simple random sampling ?

A researcher divided subjects into two groups according to gender and then selected members from each group for her sample. What sampling method was the researcher using ?

Which of the following problems is not related to stratified sampling?

Which of the following makes cluster sampling more efficient?

If the population size is 24,000 and the sample size is 400, and \(p = 0.7\), what is the sampling distribution of the sample proportion \(\hat{p}\)?

Which of the following sampling technique uses auxiliary information at pre-selection stage?

For a normal distribution variance of mean V(Mean) and variance of median V(Median), which of the following is true?

In a hypothetical group, it is given that \( d = 0.05 \), \( p=0.5\alpha \) and \( t = 2 \). If N is large, then the sample size \( n_0 \), is

If under SRSWOR, \(U = \sum_{i=1}^{n_1} y_i = n_1 \bar{y}_1\) and \(V = \sum_{j=n_1+1}^{n} y_j = (n-n_1)\bar{y}_2\), then the Var(V) is

If \(n_i \propto N_i\) and \(p_i = \frac{N_i}{N}\) and k is the number of strata and \(N_i\) is the number of units in the \(i^{th}\) stratum then, Var(\(\bar{y}_{stratified}\)) is:

If the standard deviation of marks obtained by 150 students is 11.9, then the standard error of the estimate of the population mean for a random sample of size 30 with SRSWOR, is: