Answer the following Multiple Choice questions by circling the correct answer. a

Question

Answer the following Multiple Choice questions by circling the correct answer. a. Which of the following confidence levels will results in a narrower confidence interval for the same sample size. i) 99% ii) 90% iii) 95% iv) 100% b. Which of the following sample sizes will result in the widest confidence interval for the same sample size. i) n = 100 ii) n = 1000 iii) n = 20 iv) all n give the same size interval c) If a hypothesis is rejected at a significance level alpha = 0.001, is it possible that the hypothesis will not be rejected if it was done at significance level alpha = 0.01 with everything else staying the same) i) yes ii) significance level is only defines on area & has no effect on a hypothesis d) An experiment consists of taking the average of 100 rolls, X bar, of a far olive as well as the sum, sigma xm. Which answer is the correct one. i) only X bar is normally distributed. ii) they are both distributed normally iii) they are both distributed with a General Distribution, iv) Only sigma X is normally distributed e) A linear model is fitted to two different samples using least squares linear Regression and coefficient of determination, R2 is computed for both samples, R2 = 0.37, R2 = 0.81 respectively For which sample the linear model is a better fit? i) First sample ii) second sample iii) None iv) both

Explanation / Answer

a) option (ii) 90% ;as lower the CI, lower the interval

b)(i)n=100 as sample size is inversely proportion to std error

c)(ii) as p value is less then 0.001 that indicate that p value should be less then 0.01 and hence should be rejected

d)(ii) they are both distributed normally

e)(ii) second sample due to better R2

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