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MATLAB: An Introduction with Applications

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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**Question:**

Which conditions are necessary for a confidence interval based on this data to be valid?

**Options:**

- a. Both samples are random
- b. Both samples are large
- c. Both populations are normal
- d. Both a. and c. but not b.

A company was concerned about the length of time a particular vitamin they produce retained its potency. Potency was measured for a random sample of 10 bottles that had just been produced and also for a random sample of 10 bottles after 1 year in storage. The resulting data was used to calculate the summary statistics below.

| | n | Mean | Standard Deviation |
|---------------------------|----|------|--------------------|
| Newly produced | 10 | 10.37| 0.32 |
| Stored for 1 year | 10 | 9.83 | 0.24 |
| Difference (New - Stored) | 10 | 0.54 | 0.43 |

**Explanation:**

- The table compares potency between newly produced vitamin bottles and those stored for one year.
- Each group consisted of 10 samples.
- Newly produced bottles had a mean potency of 10.37 with a standard deviation of 0.32.
- Bottles stored for one year had a mean potency of 9.83 with a standard deviation of 0.24.
- The mean difference in potency (New - Stored) is 0.54, with a standard deviation of 0.43.

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