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me is really 18 hr, how likely is it to find a sample as than) the one the test engineer found? (That is the assumption that μ = 18?)

me is really 18 hr, how likely is it to find a sample as than) the one the test engineer found? (That is the assumption that μ = 18?)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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use a cutoff value of 5%.

b) A cell phone manufacturer wants to advertise their new extended-life batteries. They believe the lifetimes are normally distributed with μ = 18 hr, but the variance is still unknown. A test engineer takes a sample of 10 batteries and finds they last an average of 17.2 hr (S = 1.0). Can the manufacturer confidently advertise the lifetime of their new batteries? i) If the average lifetime is really 18 hr, how likely is it to find a sample as extreme as (or more extreme than) the one the test engineer found? (That is, what is P(X < 17.2), under the assumption that μ = 18?)
Transcribed Image Text:b) A cell phone manufacturer wants to advertise their new extended-life batteries. They believe the lifetimes are normally distributed with μ = 18 hr, but the variance is still unknown. A test engineer takes a sample of 10 batteries and finds they last an average of 17.2 hr (S = 1.0). Can the manufacturer confidently advertise the lifetime of their new batteries? i) If the average lifetime is really 18 hr, how likely is it to find a sample as extreme as (or more extreme than) the one the test engineer found? (That is, what is P(X < 17.2), under the assumption that μ = 18?)
ii) Can the manufacturer confidently advertise the lifetime of their new batteries? (That is, are they likely to find a sample like the one they found, assuming that μ = 18 hr is true?) Circle YES or NO and briefly explain your answer. YES NO
Transcribed Image Text:ii) Can the manufacturer confidently advertise the lifetime of their new batteries? (That is, are they likely to find a sample like the one they found, assuming that μ = 18 hr is true?) Circle YES or NO and briefly explain your answer. YES NO
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