Q1. A Manufacturer suspects that the batches of raw material furnished by his supplier differ significantly in calcium content. There are a large number of batches currently in the warehouse. Four of these are randomly selected for study. A chemist did the experiments and obtained the following data. Use Minitab software (all parts are related to each other)

a. What value did you get for sum of square treatment (source of variation between groups due to factor)?

b. What value did you get for sum of square error (source of variation within group due to error)?

c. After solving the question, what value did you get for the F test statistic?

d. Using Minitab, Plot the residuals versus the predicted response. Construct a normal probability plot of the residuals. What information is conveyed by these plots?

Excel Data

\begin{tabular}{|c|c|c|c|} \hline Batch 1 & Batch 2 & Batch 3 & Batch 4 \\ \hline 23.46 & 23.59 & 23.51 & 23.28 \\ \hline 23.48 & 23.46 & 23.64 & 23.40 \\ \hline 23.56 & 23.42 & 23.46 & 23.37 \\ \hline 23.48 & 23.52 & 23.52 & 23.46 \\ \hline 23.40 & 23.50 & 23.49 & 23.39 \\ \hline \end{tabular} Portion Defective Control Chart (P-Chart) 9 8 .6 .5 p=kp1+p2++pkUCL=p+3np(1p)LCL=p3np(1p) Upper Control Limit Where p= Average of sample standard deviations (subgroup standard deviation) n= Sample size k= number of samples