33. FILE Shaft Diameter. Fabco, a precision machining shop, uses statistical process control (SPC) techniques to ensure

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33 File Shaft Diameter Fabco A Precision Machining Shop Uses Statistical Process Control Spc Techniques To Ensure 1 (25.32 KiB) Viewed 38 times

33 File Shaft Diameter Fabco A Precision Machining Shop Uses Statistical Process Control Spc Techniques To Ensure 2 (25.32 KiB) Viewed 38 times

33 File Shaft Diameter Fabco A Precision Machining Shop Uses Statistical Process Control Spc Techniques To Ensure 3 (18.37 KiB) Viewed 38 times

33 File Shaft Diameter Fabco A Precision Machining Shop Uses Statistical Process Control Spc Techniques To Ensure 4 (14.2 KiB) Viewed 38 times

33. FILE Shaft Diameter. Fabco, a precision machining shop, uses statistical process control (SPC) techniques to ensure quality and consistency of their steel shafts. The control limits used in their SPC charts are based on the assumption that shaft diameters are normally distributed. To verify this assumption, a quality engineer has measured the diameters for a sample of 50 of its popular 1/2-inch shafts a. Using the Jarque-Bera test, state the competing hypotheses in order to determine whether or not the data follow the normal distribution b. Calculate the value of the Jarque-Bera test statistic and the p-value c. At a=0.10, can you conclude that the shaft diameters are not normally distributed? d. Would your conclusion change at the 5% significance level? (4 points)
Shaft Diameter 0.4907 0.4942 0.4908 0.5062 0.4934 0.4959 0.4931 0.5059 0.4943 0.4936 20.5068 3 0.4917 40.5088 5 0.4977 6 0.4936 7 0.4978 8. 0.5007 9 0.5012 0 0.4962 21 0.4923 22 0.4925 23 0.5007 24 0.5065 25 0.5067 26 0.4909 27 0.5010 28 0.4970 29 0.4925 30 0.5026 -31 0.4911 32 0.4944 33 0.4919 340.4955 35 0.4910 35 0.5056 37 0.5006 38 0.5039 39 0.5055 40 0.4951 41 0.5066 42 0.4907 43 0.4942 44 0.4908 450.5062 46 0,4934 47 0,4959 48 0.4931 49 0.5059 50 0.4951 51 0.5066
[] spc.head() Shaft Diameter 0 0.490655 1 0.494249 2 0.490819 3 0.506189 4 0.493428 Bonus: Visualize the Shaft Diameter as a histogram and provide a caption that relates to the hypothesis test conducted. (2 points)