A manufacturer wishes to determine the effectiveness of four types of machines, A, B, C, D, in the production of bolts. To accomplish this, the number of defective bolts produced by each machine on the days of a given week are obtained for each of the two shifts. The results are indicated in the table below. Perform an analysis of variance to test at the 0.05 level of significance whether there is (a) a difference in machines, (b) a difference in shifts. Compute the following. Total Variation for all data round off to the whole number Computed F for rows (machines) Use 2 decimal places Computed F for columns (shifts) Use 2 decimal places Computed F for interaction Use 2 decimal places Page 340 Interaction is not significant type yes or no. Rows have equal means type yes or no. Columns have equal means type yes or no. FIRST SHIFT SECOND SHIFT Mon Tues Wed Thurs Fri Mon Tues Wed Thurs Fri A 6 4 5 5 4 5 7 4 6 8 B 10 8 7 7 9 7 9 12 8 8 7 5 6 5 9 9 7 5 4 6 D 8 4 6 5 5 5 5 5 7 9 9 7 10 A manufacturer wishes to determine the effectiveness of four types of machines, A, B, C, D, in the production of bolts. To accomplish this, the number of defective bolts produced by each machine on the days of a given week are obtained for each of the two shifts. The results are indicated in the table below. Perform an analysis of variance to test at the 0.05 level of significance whether there is (a) a difference in machines, (b) a difference in shifts. Compute the following. Total Variation for all data round off to the whole number Computed F for rows (machines) Use 2 decimal places Computed F for columns (shifts) Use 2 decimal places Computed F for interaction Use 2 decimal places Page 340 Interaction is not significant type yes or no. Rows have equal means type yes or no. Columns have equal means type yes or no. FIRST SHIFT SECOND SHIFT Mon Tues Wed Thurs Fri Mon Tues Wed Thurs Fri A 6 4 5 5 4 5 7 4 6 8 B 10 8 7 7 9 7 9 12 8 8 7 5 6 5 9 9 7 5 4 6 D 8 4 6 5 5 5 5 5 7 9 9 7 10