Answer and explain the reason with showing work

8. Consider data for four random variables T, U, V, W. For each variable, there are six observations (n=6). Assume for this question that each of the four variables is drawn from a population that is normally distributed. (1, 3, 4, 4, 5, 8) U - (1, 1, 2, 2, 3, 4) V - (1, 2, 3, 3, 4, 5) W - (1, 2, 3, 4, 4, 4 ) The 90-percent confidence interval for variable V is approximately: 2.12 to 3.88 B. 1.84 to 4.16 0.75 to 5.25 D -1.96 to 1.96 9. Consider results from Question 8 above. If the null hypothesis is that the population mean is 5 (Ho: # = 5), then at the 10-percent level of significance, the null hypothesis A should be rejected. B. should not be rejected. ONACOON 0 20 40 60 80 100 X 10. Consider the scatter diagram above, which of the following is the best estimate of the correlation between X and Y above? A. 0 B. C. -0.1 D. 0.75 E. -0.75