1. Chapter 11: Section 11.1, Exercise 10. "The strength of concrete used in commercial..." Here is the ANOVA table for this data set: Analysis of Variance for Strength Source Batch Method Error Total...

This problem is from the book “ Probability and Statistics for Engineering and Sciences” Eighth Edition by Jay Devore.

Extracted text: 1. Chapter 11: Section 11.1, Exercise 10. "The strength of concrete used in commercial..." Here is the ANOVA table for this data set: Analysis of Variance for Strength Source Batch Method Error Total DF 86.7913 23.229 24.045 134.067 MS 9.644 11.614 1.336 7.22 0.000 8.69 0.002 2 18 29 Follow these instructions: a, with α-0.01, perform the 2 tests of hypothesis: (Factor A-Batch) Ho:CA2-0 vs. Ha : ƠA2 (Factor B-Method) Ho: β1-62-63-o vs. Ha. Ho is false. 0 . . Follow the 4-step procedure and use the P-values above. b. Suppose that Factor A (Batch) is a random effect. Compute by hand arn estimate of ơA2 How much of total variation in a single observation is attributed to differences between batches? c. 10. The strength of concrete used in commercial construction tends to vary from one batch to another. Consequently small test cylinders of concrete sampled from a batch are "cured" for periods up to about 28 days in temperature- and moisture-controlled environments before strength measure- ments are made. Concrete is then "bought and sold on the basis of strength test cylinders" (ASTM C 31 Standard Test Method for Making and Curing Concrete Test Specimens in the Field). The accompanying data resulted from an experi- ment carried out to compare three different curing methods with respect to compressive strength (MPa). Analyze this data Batch Method A Method B Method C 30.7 29.1 30.0 31.9 30.5 26.9 28.2 32.4 26.6 28.6 33.7 30.6 32.2 34.6 33.0 29.3 28.4 32.4 29.5 29.4 30.5 30.5 33.5 32.4 27.8 30.7 33.6 29.2 33.2 4 10