A company wants to test the claim that their batteries last more than 40 hours. Using a simple random sample of 15 batteries yielded a mean of 44.9 hours, with a standard deviation of 8.9 hours. Construct a one-sided confidence interval to test this claim using a significance level of 0.05. State your conclusion. Assume all conditions and assumptions are met.
Added by Joel H.
Step 1
- The null hypothesis (H0) is that the true mean battery life is 40 hours or less (μ ≤ 40). - The alternative hypothesis (H1) is that the true mean battery life is more than 40 hours (μ > 40). Show more…
Show all steps
Close
Your feedback will help us improve your experience
Hubert Agamasu and 56 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Imagine a company wants to test the claim that their batteries last more than 40 hours. Using a simple random sample of 15 batteries yielded a mean of 44.9 hours, with a standard deviation of 8.9 hours. Test this claim using a significance level of 0.05. (State the null and alternative hypotheses)
Adi S.
A manufacturer claims that the mean lifetime of its lithium batteries is 1500 hours. A homeowner selects 25 of these batteries and finds the mean lifetime to be 1470 hours with a standard deviation of 80 hours. Use the classic approach to test the manufacturer's claim. Use α = 0.05. Using hypothesis testing
A mobile company claims that the mean lifespan of its batteries is 48 hours. A consumer rights group that disagrees with this claim conducts a study with a random sample of 30 batteries and finds that the mean lifespan of these batteries is 47 hours with a standard deviation of 3 hours. Conduct a hypothesis test with a 0.05 significance level to test the company's claim. What is your conclusion?
Lucas F.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD