[See Solution] A company hires workers to paint ceramic figurines. A new method was proposed to increase the number of figurines painted. The table below
Question: A company hires workers to paint ceramic figurines. A new method was proposed to increase the number of figurines painted.
The table below gives the number of figurines painted in a day by a simple random sample of workers before and after the new method was instituted.
|
Subject
# |
Figurines
painted each day using old method |
Figurines
painted each day using new method |
| 1 | 30 | 29 |
| 2 | 28 | 30 |
| 3 | 31 | 32 |
| 4 | 26 | 30 |
| 5 | 20 | 16 |
| 6 | 30 | 25 |
| 7 | 34 | 31 |
| 8 | 15 | 18 |
| 9 | 28 | 33 |
| 10 | 20 | 25 |
| 11 | 20 | 32 |
| 12 | 29 | 28 |
| 13 | 31 | 34 |
| 14 | 29 | 32 |
| 15 | 34 | 32 |
| 16 | 20 | 27 |
| 17 | 26 | 28 |
| 18 | 25 | 29 |
| 19 | 31 | 32 |
| 20 | 29 | 32 |
- What is the 95% confidence interval for the mean increase in the number of figurines painted in a day by each worker?
- Based on the 95% confidence interval found in part (A), is a mean increase of 3 figurines per day by each worker a significant improvement? Explain your reasoning.
- Management claims that the new method has increased the production by each worker. Conduct an hypothesis test to determine if the claim is valid.
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