List of top Statistics for Economics Questions asked in Indian Institute Of Technology Joint Admission Test for MSc

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?