Question
Experiments Trial 1 Trial 2 1 61 83 2 59 94 3 41 106 4 45 130 5 35 106 6 57 75 7 45
Experiments | Trial 1 | Trial 2 |
1 | 61 | 83 |
2 | 59 | 94 |
3 | 41 | 106 |
4 | 45 | 130 |
5 | 35 | 106 |
6 | 57 | 75 |
7 | 45 | 101 |
8 | 85 | 94 |
9 | 44 | 90 |
10 | 62 | 116 |
11 | 103 | 99 |
12 | 96 | 141 |
13 | 96 | 140 |
14 | 88 | 134 |
15 | 59 | 84 |
Reference the above table data
You are a manufacturer of outdoor picnic furniture (benches, picnic tables, litter receptacles, etc.). You are developing a new (experimental) manufacturing processes.
The data you gathered is cycle time (minutes) of the most important operation. Faster is better, and the goal is to do it in less than 96 minutes. Assume the faster cycle time is the experimental manufacturing process. Provide the p-value and confidence level for all of Problem 1. In addition, make sure to explain if the trials are different for each metric, based on alpha = 10% (or 0.10). Compare sample data for Trial 1 versus Trial 2.
1) The average cycle time of one trial is better than the other
2) The % less than 96 minutes for one trial is better than the other
3) The variation of one trial is better than the other
4) Assume the faster cycle time is will require an investment in new equipment for all of your manufacturing plants. You need to be 97% confident to make your decision to invest in one process versus the other. What is your decision?
5) Analyze whether the average for the two trials is different, lining up the data by
experiment number
6) Calculate the 95% average and proportion confidence interval for both trials.
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