Each gum drop in two bags of Sathers Gum Drops was weighed (to the nearest .001 g) on a sensitive Mettler PE 360 Delta Range scale. After removing one outlier (to improve normality), there were 84 gum drops in the sample, yielding an overall mean x-bar = 11.988 g and a pooled standard deviation s =.2208 g.
(a) Use these sample statistics to construct control - limits for an x chart, using a subgroup size n = 6.
(b) Plot the means shown below on your control chart. Is the process in control?
(c) Prepare a histogram and/or normal probability plot for the pooled sample. Does the sample support the view that gum drop weight is a normally distributed random variable? Explain.

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Sample x xs Mean 11.741 975 985 12.163 12.317 12.032 12.036 12.206 1.970 12.179 12.182 11.756 11.975 2.045 12.041 12.120 11.855 12.036 11.750 11.870 11.945 12.002 800 12.092 12.017 12.340 12.488 12.123 12.305 2.134 1949 12.050 12.246 11.839 12.087 11862 2.04912.105 11.894 11.995 11.722 11938 11.979 12 124 12.171 12.093 12.224 965 12.093 11.941 855 11.587 11.574 11.752 12.345 1842 12.297 .078 12.13711.869 1609 .732 11954 11.677 .879 926 11852 11.78 932 11.841 12,113 2129 2.156 12.284 12207 12.247 12.189 12.510 04 .675 1880 2.086 12.458 12.086 12.193 11.975 12.173 1635 11.549 1744 11878 11.880 11.784 11.696 11.804 11.823 11693 1.780 3 12 13