3.55. A manufacturer suspects that the batches of raw material furnished by his supplier differ significantly in
Question:
3.55. 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. Five of these are randomly selected for study.
A chemist makes five determinations on each batch and obtains the following data:
(a) Is there significant variation in calcium content from batch to batch? Use ( = 0.05.
(b) Estimate the components of variance.
(c) Find a 95 percent confidence interval for 
(d) Analyze the residuals from this experiment. Are the analysis of variance assumptions satisfied?
(e) Use the REML method to analyze this data. Compare the 95 percent confidence interval on the error variance from REML with the exact chi-square confidence interval.
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