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Question 5: 10 points A battery manufacturer claims that the lifetime of its batteries averages 20,000 hours. The standard deviation of lifetimes is known to be 4000 hours. You sample 100 batteries and will test the hypothesis that the mean lifetime is at least 20,000 hours versus the alternative that it is less. 1. If it is decided to reject Ho if the sample mean is less than 19,200, what is the level (a) of this test? Answer: $\alpha = 0.0228$ 2. If, in fact, the true lifetime is 18,800 hours, what is the power of the test?

          Question 5: 10 points
A battery manufacturer claims that the lifetime of its batteries averages 20,000 hours.
The standard deviation of lifetimes is known to be 4000 hours. You sample 100
batteries and will test the hypothesis that the mean lifetime is at least 20,000 hours
versus the alternative that it is less.
1. If it is decided to reject Ho if the sample mean is less than 19,200, what is the
level (a) of this test?
Answer: $\alpha = 0.0228$
2. If, in fact, the true lifetime is 18,800 hours, what is the power of the test?

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Question 5: 10 points
A battery manufacturer claims that the lifetime of its batteries averages 20,000 hours.
The standard deviation of lifetimes is known to be 4000 hours. You sample 100
batteries and will test the hypothesis that the mean lifetime is at least 20,000 hours
versus the alternative that it is less.
1. If it is decided to reject Ho if the sample mean is less than 19,200, what is the
level (a) of this test?
Answer: α = 0.0228
2. If, in fact, the true lifetime is 18,800 hours, what is the power of the test?

Added by Alejandro S.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Ajiboye Tunde

01/22/2022

Step 1

We know the population mean (μ) is 20,000 hours, the standard deviation (σ) is 4,000 hours, and the sample size (n) is 100. z = (sample mean - μ) / (σ / √n) z = (19,200 - 20,000) / (4,000 / √100) z = -800 / 400 z = -2 Show more…

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Please help me solve these questions Number 1 gives the answer but i dont know how to get it Question 5: 10 points A battery manufacturer claims that the lifetime of its batteries averages 20,000 hours. The standard deviation of lifetimes is known to be 4000 hours. You sample 100 batteries and will test the hypothesis that the mean lifetime is at least 20,000 hours versus the alternative that it is less. If it is decided to reject Ho if the sample mean is less than 19,200 , what is the level (alpha ) of this test? Ahswev: alpha =0,0228 2. If, in fact, the true lifetime is 18,800 hours, what is the power of the test? Question 5:10 points versus the alternative that it is less level(a)of this test? Ahswev: 0=0022 2.If, in fact, the true lifetime is 18,800 hours, what is the power of the test?

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