A pharmaceutical company states that there is 500mg of active ingredient in each capsule for one of the medicines they manufacture. However, the FDA believes the company is purposely underfilling the capsule to save money. A sample of 20 capsules is taken and the amount of active ingredient inside is measured. The results are below:
A pharmaceutical company states that there is 500mg of active ingredient in each capsule for one of the medicines they manufacture. However, the FDA believes the company is purposely underfilling the capsule to save money. A sample of 20 capsules is taken and the amount of active ingredient inside is measured. The results are below:
| 484 |
| 460 |
| 471 |
| 512 |
| 494 |
| 529 |
| 494 |
| 485 |
| 474 |
| 502 |
| 503 |
| 538 |
| 466 |
| 495 |
| 475 |
| 529 |
| 518 |
| 464 |
| 449 |
| 489 |
Part 1: Construct a 95% confidence interval using toolPAK for the amount of active ingredient measured. Use the appropriate distribution, and specify the upper and lower limits of the interval.
Part 2: Carefully interpret the 95% confidence interval? What if you did constructed a Confidence Interval Manually?
Part 3: Does the 95% confidence interval support the FDA’s claim? Explain.
Part 4: Would your answer change if the confidence level was lowered to 75%? Explain.
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