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 |
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