Three different assembly methods have been proposed for a new product. A completely randomized experimental design was chosen to determine which assembly method results in the greatest number of parts produced per hour, and 30 workers were randomly selected and assigned to use one of the proposed methods. The number of units produced by each worker follows. $$ \begin{array}{rcc} & \text { Method } & \\ \text { A } & \text { B } & \text { C } \\ \text { 97 } & 93 & 99 \\ 73 & 100 & 94 \\ 93 & 93 & 87 \\ 100 & 55 & 66 \\ 73 & 77 & 59 \\ 91 & 91 & 75 \\ 100 & 85 & 84 \\ 86 & 73 & 72 \\ 92 & 90 & 88 \\ 95 & 83 & 86 \end{array} $$ Use these data and test to see whether the mean number of parts produced is the same with each method. Use $\alpha=.05$.
Added by Daniela M.
Step 1
- For Method A: (97 + 73 + 93 + 100 + 73 + 91 + 100 + 86 + 92 + 95) / 10 = 90 - For Method B: (93 + 100 + 93 + 55 + 77 + 91 + 85 + 73 + 90 + 83) / 10 = 84 - For Method C: (99 + 94 + 87 + 66 + 59 + 75 + 84 + 72 + 88 + 86) / 10 = 81 Show more…
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