Asked by mariha
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.
(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.
Answers
Answered by
MathGuru
Here are a few suggestions:
Type I errors result when you reject the null and it's true. Type II errors result when you accept the null and it's false. The probability of a Type II error is beta.
You may be able to find sample size using margin of error.
Formula is this:
Margin of error = (z-value)(sd/√n)
Type I errors result when you reject the null and it's true. Type II errors result when you accept the null and it's false. The probability of a Type II error is beta.
You may be able to find sample size using margin of error.
Formula is this:
Margin of error = (z-value)(sd/√n)
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.