Problem

Each gum drop in two bags of Sathers Gum Drops Was weighed (to the nearest 001 g) on a sen...

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= 11.988 g and a pooled standard deviation s =.2208 g .(a) Use these sample statistics to construct control limits for an 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.?

sample	X1	X2	X3	X4	X5	X6	Mean
1	11.741	11.975	11.985.	12.163	12.371	12.032	12.035
2	12.206	11.970	12.179	12.182	11.756	11.975	12.045
3	12.041	12.120	11.855	12.036	11.750	11.870	11.945
4	12.002	11.800	12.092	12.017	12.340	12.488	12.123
5	12.305	12.134	11.949	12.050	12.246	11.839	12.087
6	11.862	12.049	12.105	11.894	11.995	11.722	11.938
7	11.979	12.124	12.171	12.093	12.224	11.965	12.093
8	11.941	11.855	11.587	11.574	11.752	12.345	11.842
9	12.297	12.078	12.137	11.869	11.609	11.732	11.954
10	11.677	11.879	11.926	11.852	11.781	11.932	11.841
11	12.113	12.129	12.156	12.284	12.207	12.247	12.189
12	12.510	11.904	11.675	11.880	12.086	12.458	12.086
13	12.193	11.975	12.173	11.635	11.549	11.744	11.878
14	11.880	11.784	11.696	11.804	11.623	11.693	11.780