6.65. (a) Thirty observations on the oxide thickness of individual silicon wafers are shown in Table 6E.23. Use these data to set up a control chart on oxide thickness and a moving range chart. Does the process exhibit statistical control? Does oxide thickness follow a normal distribution? (b) Following the establishment of the control charts in part (a), 10 new wafers were observed. The oxide thickness measurements are as follows: Oxide Thickness Oxide Thickness Wafer Wafer 54.3 6 51.5 2 57.5 58.4 3 64.8 8 67.5 4 62.1 9. 61.1 5 59.6 10 63.3

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1. A study of the relation between the waistline and percent body fat in men yielded the data shown (waistline measurement in inches). waistline (x) 34.7 46.5 32.8 41.3 29.8 39.3 35.7 29.0 percent fat (y) 21.8 33.6 13.4 27.1 13.7 30.2 18.5 11.2 x = 36.1375 y = 21.1875 SSxx = 248.53875 SSay = 332.67375 SSyy = 494.30875 (a) Find the proportion of the variability in percent body fat that is accounted for by the size of the waistline. Explain fully. (b) Find the regression line for predicting y from x. (c) Construct a 95% confidence interval for the average percent body fat of all men whose waistline size is 34.0 inches. (d) test HO: Beta1 is 0 vs. Ha : Beta1 is not 0, compute the appropriate test statistic and p-value, then make your decision at a = 0.05. (e) Construct a 90% confidence interval for beta1. (f) Compute a 90% confidence interval for the average percent fat when waistline is 35.

6. Setup: JP was curious about the sodium content of organic cornflakes. To investigate this, twenty 300-gram boxes of organic cornflakes were obtained and the sodium content was measured. The data (in milligrams) are as follows: 131.1, 130.7, 130.9, 129.5, 129.6, 128.8, 130.7, 128.3, 128.2, 129.7, 130.1, 129.3, 128.7, 129.0, 129.4, 130.4, 129.5, 130.1, 129.8, 130.0 Task: Perform a hypothesis test using R to determine if you can support a claim that the mean sodium content of this brand of cornflakes differs from 130 milligrams? Use a = 0.08 to make your decision. R Output: Upon running your analysis in R, you obtain the following results: One Sample t-test data: corn = 0.1121 t = -1.6659, df = alternative hypothesis: true mean is not equal to 130 19, р-value 92 percent confidence interval: 129.3458 130.0342 sample estimates: mean of x 129.69 Questions: (a) State the hypotheses used in performing this test. (b) Using the output above, state the decision (Reject or Not Reject Ho) of the…