# Statistics and methodology - Statistics and Methodology Multiple Choice Questions

26:

If rxy = 0.38, rxz = 0.62 and ryz = 0.91. Find the partial correlation between x and y with z held fixed

 A. -0.16 B. -0.57 C. -0.39 D. -0.56 Answer Report Discuss Option: B Explanation : Hence the answer is (b). Click on Discuss to view users comments. Write your comments here:
27:

Given

N = 8, X¯ = 74.5, AX = 69.0, σX = 13.07, Y¯ = 125.5, AY = 112, σY = 15.85, Σdxdy = 2176.

Find out correlation

 A. +0.22 B. +0.92 C. +0.96 D. +0.36 Answer Report Discuss Option: C Explanation : Hence the answer is (c). Click on Discuss to view users comments. Write your comments here:
28:

Out of 10,000 students in a university, a sample of 400 is taken, the monthly average of the expenditure of these 400 students is found to be Rs. 75 and the standard deviation Rs. 2.50. Set the limits within the average of additional sample would be

 A. 192 B. 0.125 C. 163 D. 125 Answer Report Discuss Option: B Explanation : If additional samples are taken from the same universe, then their means would lie between 75 ± 3 (0.125) i.e. 75.35 and 74.625. Hence the answer is (b). Click on Discuss to view users comments. Write your comments here:
29:

A bag contains 4 white, 2 black, 3 yellow and 3 red balls. What is the probability of getting a white or red ball at random in a single draw of one?

 A. 19% B. 58.3% C. 12% D. 13% Answer Report Discuss Option: B Explanation : The probability of getting one white ball = 4/12 The probability of getting one red ball = 3/12 The probability of getting one white or red ball = 4/12 + 3/12 7/12 or 7/12 x 100 = 58.3% Hence the answer is (b). Click on Discuss to view users comments. Write your comments here:
30:

ϰ2 computed by

 A. B. C. D. Answer Report Discuss Option: A Explanation : O = Individual observed frequencies of each class. E = Individual theoretical frequencies of each class. Hence the answer is (a). Click on Discuss to view users comments. Write your comments here: