Question

To test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, the Jacobs Chemical Company obtained the following data on the time (in minutes) needed to mix the material.

Manufacture
1	2	3
18	27	24
27	24	18
21	33	24
18	27	21

a. Compute the values below (to 2 decimals, if necessary).

Sum of Squares, Error
Mean Squares, Error
Fisher's LSD Value

b. Use Fisher's LSD procedure to develop a 95% confidence interval estimate of the difference between the means for manufacturer 1 and manufacturer 2. Round to two decimal places. Enter negative values as negative numbers.
to

Answer 1

13 b). The 95 difference 27 2410 27 manufac .. 26 . 24 21 F 33 27. 27.75 1 - (-6.7 21.75 - Mean). = (-12.0 a) Now, SSW (te (Rij - D.) folk - (18-203 r. (27-21)² + (21-212 ² + (13-21) + (27 - 27.707 +(24-2725)+(33-2175)*+ (2+27.75)? (24- 21.45*** (12--21:45) + (24 – 21:35) + (21-217514 54 * 42.75 + 24.45X Suzan o 2 1215 Msh - SSW - 1215 a 1215- 13.5. n-k .. Fishers LSD - t. 1 MSW 39 N + 2.262.413 5( + +). 2 2.26256.75 = 5.88.

b). The 95% confidence interval to estimate the difference between the means for manufacturer 1 & manufacturer 2 is- ((7, -529) Fisher's ) • (-6-75 + 5-85) = (-12.63 - 0.87)