Answer this to best of ability please tiple ehoice qestions: select one best ans

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Answer this to best of ability please

tiple ehoice qestions: select one best answer (1 point) Radonm sarmpiles of 50 men and 50 women are asked to imagine buying a of irthdey presest for theis best friend. We want to estimate the sime of the difference in how nmach they are willing to spend. We would use a A. Two-sample t-hypothesis test. B. Two-sample t-confidence interval. C. Paired t-hypothesis test. D. Paired t-confidence interval. 2. (1 point) If we fail to reject Ho -o in a regression analysis, A. we can conclude that there is no linear relationship between the two vari- ables. B. we can conclude that there is not enough evidence to say there is a linear relationship between the two variables. C we should go ahead and do a regression anyway D. None of the above. 3. (1 point) If all assumptions are met for a regression model, then I. For each value of z, the y's follow a normal model and all of these normal models have the same standard deviation. II. The means of all normal models lie on regression line relating y and A. I only. B. II only. C. Both I and II. D. Neither I nor Il

Explanation / Answer

Q1

Since the question is to estimate the difference, the answer should be confidence interval. Further, there is no mention of the population standard deviation. Hence, it must be estimated by sample standard deviation. Thus, it is a case of t-distribution confidence interval.

Answer option B ANSWER

Q2

Failing to reject H0 is equivalent to accepting H0 which in turn implies that there is a chance that 0 is zero which is same as saying ‘no linear relationship’.

Thus, Answer option A ANSWER

[Note: 0 is zero can only implies there is no linear relationship. There can as well be strong non-linear relationship. Thus, option B is not the correct answer, although that is most popular, wrong of course, answer.]

Q3

The general regression model is: Y = + X + , where is the error term.

The model assumes to be Normally distributed with mean 0 and variance 2 and X to be a known variable. Thus, under these assumptions, Y is normally distributed and so Statement I is true.

Substituting the least square estimates of and in the model, it can be seen that the point (Xbar, Ybar) satisfies the model equation. Thus, Statement II is also true.

Hence, Answer option C ANSWER

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