A Company’s officials were concerned about the length of time a particular drug retained its potency. They suspect that drug potency decreases sooner than expected. A random sample of bottles of a product was drawn from the production line and analyzed for potency. A second sample of bottles was obtained and stored in a regulated environment for a period of 1 year. Summary statistics of the potency readings for two samples are shown below. n Sample mean Sample sd Fresh Bottles 10 10.37 0.3234 Stored Bottles 10 9.83 0.2406 Carryout an appropriate test at a 5% significance level to see whether there is enough evidence towards the company’s suspicion. Show the p-value calculation. What assumptions you made about the data when doing the above hypothesis test. Interpret the type I and type II errors in the context of this problem.
A Company’s officials were concerned about the length of time a particular drug retained its potency. They suspect that drug potency decreases sooner than expected. A random sample of bottles of a product was drawn from the production line and analyzed for potency. A second sample of bottles was obtained and stored in a regulated environment for a period of 1 year. Summary statistics of the potency readings for two samples are shown below. n Sample mean Sample sd Fresh Bottles 10 10.37 0.3234 Stored Bottles 10 9.83 0.2406 Carryout an appropriate test at a 5% significance level to see whether there is enough evidence towards the company’s suspicion. Show the p-value calculation. What assumptions you made about the data when doing the above hypothesis test. Interpret the type I and type II errors in the context of this problem.
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 8CR
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A Company’s officials were concerned about the length of time a particular drug retained its potency. They suspect that drug potency decreases sooner than expected. A random sample of bottles of a product was drawn from the production line and analyzed for potency. A second sample of bottles was obtained and stored in a regulated environment for a period of 1 year. Summary statistics of the potency readings for two samples are shown below.
|
|
n |
Sample mean |
Sample sd |
|
Fresh Bottles |
10 |
10.37 |
0.3234 |
|
Stored Bottles |
10 |
9.83 |
0.2406 |
- Carryout an appropriate test at a 5% significance level to see whether there is enough evidence towards the company’s suspicion. Show the p-value calculation.
- What assumptions you made about the data when doing the above hypothesis test.
- Interpret the type I and type II errors in the context of this problem.
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