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. (all parts are related to each other)

a. After running the proper test, what is P-value for this problem?

b. What value did you choose for the error type I (significance level) for this problem?

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

d. What is confidence level?

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

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

g. 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|c|c|} \hline Feed rate (in/min) & \multicolumn{5}{|c|}{ Production Run } \\ \hline 10 & 1 & 2 & 3 & 4 & 5 \\ \hline 12 & 0.09 & 0.10 & 0.13 & 0.08 & 0.07 \\ \hline 14 & 0.06 & 0.09 & 0.12 & 0.07 & 0.12 \\ \hline 16 & 0.11 & 0.08 & 0.08 & 0.05 & 0.06 \\ \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