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:

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 6CST
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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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