Generate the design for this experiment, analyse the results by producing main effects

INSTRUCTIONS TO CANDIDATES

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Engineering Statistics

Week      1     2   3     4     5     6     7     8     9    10    11    12   13 

Bottles 132 127 100 121 111 161 131 108 129 144 129 134 130

Sold Task 1: Construct a run chart with this data and comment whether any trends are apparent. Task 2: 140 (20%) (20%) 130 

Produce a statistical summary for the sales data including relevant descriptive statistics and a histogram plot (use a bin width of 10 bottles). 

Task 3: (20%) 

Perform a normality test and discuss the evidence that the soft drinks sales data follows a normal distribution. 

Task 4: (40%) 

Four factors are thought to influence the taste of the dietary product: A - type of sweetener; B —fruit content; C — percentage fat matter; D — temperature. A full factorial experiment was conducted with these 4 factors. At each run in the design, samples of the dietary product were tested by panel of experts who rated the taste on a scale from 1 to 10, the response variable taken being the sum of individual ratings. The results are listed in the table below, in the standard order of runs. 

Generate the design for this experiment, analyse the results by producing main effects and interactions plots and discuss the most significant factors that can be used to find a formulation that maximises the total score. 

Run (std order)    1     2      3    4     5     6    7     8     9    10   11   12   13   14   15 16 

Total score        169 178 168 176 185 189 183 189 174 197 173 195 178 207 180 204 

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