Answer Q10.2.13 and Q10.2.14 stepwise please

c. Is the value zero contained in the 95% confidence inter- val? Explain the connection with the conclusion you reached in part (a). d. Do normal probability plots of part cycles to failure indi- cate any violations of the assumptions for the tests and con- fidence interval that you performed? 10.2.14 An article in Quality Engineering [2012, Vol. 24(1)] described an experiment on a grinding wheel. The following are some of the grinding force data (in N) from this experiment at two different vibration levels. Low 242, 249, 235, 250, 254, 244, 258, 311, 237, 261, 314, 252 High 302, 421, 419, 399, 317, 311, 350, 363, 392, 367, 301, 302 a. Is there evidence to support the claim that the mean grind- ing force increases with the vibration level? b. Find a 95% confidence interval for the difference in the mean grinding force for the two vibration levels. c. Is the value zero contained in the 95% confidence interval? Explain the connection with the conclusion you reached 1n part (a). d. Do normal probability plots of grinding force indicate any violations of the assumptions for the tests and confidence interval that you performed? 10.2.13 A paper in Quality Engineering [2013, Vol. 25(1)] presented data on cycles to failure of solder joints at different temperatures for different types of printed circuit boards (PCB). Failure data for two temperatures (20 and 60C) for a copper- nickel-gold PCB follow. 20C 218, 265, 279, 282, 336, 469, 496, 507, 685, 685 60C - 185, 242, 254, 280, 305, 353, 381, 504, 556, 697 a. Test the null hypothesis at a = 0.05 that the cycles to fail- ure are the same at both temperatures. Is the alternative one or two sided? b. Find a 95% confidence interval for the difference in the mean cycles to failure for the two temperatures