List of top Statistics for Economics Questions

Which of the following CORRECTLY defines the relationship between the variances of sample means for simple random samples drawn with and without replacement from a normal population?

In the hypothesis testing, which of the following defines the size of power of the test?

Suppose that two random samples of sizes n1, and n2 are selected without replacement from two binomial populations with means = \(\mu_1= n_1p_1, \,\,\,\mu_2= n_2p_2,\) and variances \(σ_1 ^2 = n_1p_1q_!, \,\,\,σ_2^2 = n_2p_2q_2\) , respectively. Let the difference of sample proportions $\overline{P_1} $ and $\overline{P_2} $ approximate a normal distribution with mean ($p_1 - p_2$). Then the standard deviation of the difference of sample proportions  $\overline{P_1} $ and $\overline{P_2} $, is

The probability of getting head in a toss of a biased coin is ⅔ . Let the coin be tossed three times independently. Then the probability of getting head in the first two tosses and tail in the final toss is

Which of the following is NOT correct regarding R-squared ($R^2$) and Adjusted R-squared ($\overline{R^2}$)?

Let \(X \sim N(\mu X, \sigma _X ^2)\) and \(Y \sim N(\mu _y, \sigma _y ^2)\) Which of the following is/are NOT correct?

An individual faces an uncertain prospect, where wealth could be Rs. 10 Lakh with probability 0.75 and Rs. 7 Lakh with probability 0.25.
Let the utility function be U(w) = w³. Then the individual will buy full insurance by paying a premium of Rs. _____ Lakh (round off to 2 decimal places).

Suppose that the regression model is $Y_i =\beta_0 + \beta_1 X_{1i} + \beta_2 X_{2i} + \mu_i, i = 1, 2,..., n$. Which of the following null hypotheses could be tested using the F-test?