Baseballs used in the major leagues in the United States must adhere to strict standards. One such standard is that the circumference must be between 9 and 9.25 inches. One could look at this standard as a target circumference of 9.125 inches with a tolerance of +/ -0.125 inches. These data (shown at the bottom of the page) were taken from a random sample of 50 baseballs from a large production batch. The actual circumference and deviation from the target circumference are listed. Using the specification limits as the control limits,

a)€‚Create a run chart for the baseballs€™ circumferences.
b)€‚Is the process for making baseballs in terms of their circumference in control?
c)€‚How many baseballs produced were out of spec?

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Sample Circumference Dviaapl Circumference Deviation 一0.004 0.014 0.005 0.009 0.090 0.063 0.033 8.998 9.181 -0.127 0.056 0.022 0.057 0038 9.121 9.087 9.035 9.154 9.092 9.078 0.024 0.012 0.038 0.071 0.052 0.067 0.054 0.022 -0.002 -0.028 0.017 0.089 0.015 0.026 0.084 0.064 0.016 0.032 9.093 9.142 9.087 9.054 0.015 9.175 8.985 9.119 9.140 0.050 9.058 9.179 9.147 0.016 0.065 -0.038 0.079 一0.017 9.087 9.046 9.214 9.140 9.041 9.061 9.162 0.000 -0.011