a manufacturer of automobile transmissions is evaluating three different production processes. to determine…

a manufacturer of automobile transmissions is evaluating three different production processes. to determine whether production costs differ across the processes, management commissioned a study. a summary of the results is provided below.\n| | process 1 | process 2 | process 3 | total |\n|--|--|--|--|--| \n| process totals ($100s) | 137 | 108 | 107 | 352 |\n| sample size | 10 | 10 | 10 | 30 |\n| sum of squares | 1893 | 1188 | 1175 | 4256 |\nin an anova table, what would be the degrees of freedom for the treatment source of variation?\na 10\nb 3\nc 2\nd 27\nlast saved 9:28:02 am

a manufacturer of automobile transmissions is evaluating three different production processes. to determine whether production costs differ across the processes, management commissioned a study. a summary of the results is provided below.\n| | process 1 | process 2 | process 3 | total |\n|--|--|--|--|--| \n| process totals ($100s) | 137 | 108 | 107 | 352 |\n| sample size | 10 | 10 | 10 | 30 |\n| sum of squares | 1893 | 1188 | 1175 | 4256 |\nin an anova table, what would be the degrees of freedom for the treatment source of variation?\na 10\nb 3\nc 2\nd 27\nlast saved 9:28:02 am

Answer

Explanation:

Step1: Recall degrees - of - freedom formula

The degrees of freedom for the treatment source of variation in a one - way ANOVA is given by $k - 1$, where $k$ is the number of treatments.

Step2: Identify number of treatments

Here, the number of production processes (treatments) $k=3$ (Process 1, Process 2, Process 3).

Step3: Calculate degrees of freedom

Using the formula $df_{treatment}=k - 1$, we substitute $k = 3$ into the formula: $df_{treatment}=3 - 1=2$.

Answer:

C. 2