Posted by **mariha** on Saturday, April 14, 2012 at 8:57am.

One important task in experiment design is to determine the sample size needed to support the conclusion. A manufacturer for a specific assistive device claims that its battery can last longer than 15 days without re-charging. To check if this claim is valid, a hypothesis test is conducted: H0: u≤15, Ha: u>15, and the significance level for the test is set to be 0.05. Let assume that the standard deviation sigma=1.6.

(a) Explain what Type I error and Type II error that may occur in this study.

(b) What is the probability of committing a type II error if its battery actual last for 14 days.

(c) What sample size you will need if it is intended for a 90% probability of detecting that ‘the u is less than 15’ when it was actually u=14.

## Answer this Question

## Related Questions

- statistics - A consumer advocacy group claims that the mean amount of juice in a...
- Sciene - Portfolio: you will design an experiment to investigate the ...
- STATISTICS - Length of Hospital Stays: The average length of “short” hospital ...
- statistics - An IQ is designed so that the mean is 100 and the standard ...
- statistics - Suppose a manufacturer claims that each family-size bag of pretzels...
- statistics - A political candidate has asked you to conduct a poll to determine ...
- biology - On a television talk show, a guest claims that people who exercise ...
- Statistics - An IQ test is designed so that the mean is 100 and the standard ...
- Science - Portfolio: you will design an experiment to investigate the ...
- statistics - The Acme Company has developed a new battery. The engineer in ...

More Related Questions