A computer company claims that the batteries in its laptops last 4 hours on average. A consumer report firm gathered a sample of 16 batteries and conducted tests on this claim. The sample mean was 3 hours 50 minutes, and the sample standard deviation was 20 minutes. Assume that the battery time distribution as normal.a) Test if the average battery time is shorter than 4 hours at a = 0.05. Use the 5-step method.b) Construct a 95% confidence interval of the mean battery time.c) If you were to test H0: µ =240 minutes vs. H1: µ ≠ 240 minutes, what would you conclude from your result in part (b)?d) Suppose that a further study establishes that, in fact, e population mean is 4 hours. Did the test in part (c) make a correct decision? If not, what type of error did it make?

The objective of the question is to test the claim of the computer company about the average battery…

Answered: A computer company claims that the…

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A computer company claims that the batteries in its laptops last 4 hours on average. A consumer report firm gathered a sample of 16 batteries and conducted tests on this claim. The sample mean was 3 hours 50 minutes, and the sample standard deviation was 20 minutes. Assume that the battery time distribution as normal.
a) Test if the average battery time is shorter than 4 hours at a = 0.05. Use the 5-step method.
b) Construct a 95% confidence interval of the mean battery time.
c) If you were to test H₀: µ =240 minutes vs. H₁: µ ≠ 240 minutes, what would you conclude from your result in part (b)?
d) Suppose that a further study establishes that, in fact, e population mean is 4 hours. Did the test in part (c) make a correct decision? If not, what type of error did it make?

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