answer please tiple ehoice qestions: select one best answer (1 point) Radonm sar

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answer 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

1)

I should use T test for independent samples since the two groups of 50 men and 50 women are independent of each other. in this case I am interested to estimate the size of difference regarding their money spent. hence I should use confidence interval. This interval will indicate that I am (1-a)% confident that the estimated population mean difference regarding the money spend between men and women lies in this interval.

Hence Option B two sample t confidence interval is correct.

2)

Ho: beta1 = 0, beta 1 is not significant.

H1: beta1 =/= 0, beta 1 is significant

If I decide fail to reject the null hypothesis I can say that there is no sufficient evidence to conclude that beta 1 is significant. this is equalent to say that there is no sufficient evidence to conclude that there is linear relationship between the two variables.

Hence option B we can say that there is no sufficient evidence to say there is a linear relationship between two variables is correct.

3)

Assumptions of regression analysis are:

1) residuals are normally distributed

2) the variance of residuals is constant

Hence I can say that statement II the means of all normal model lie on the regression line relating Y and x is correct

Hence option B only II is correct

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