1) Sampling Distribution for Sample Means - Making Statistical Inferences a) A cell phone manufacturer wants to advertise their new extended-life batteries. They believe the lifetimes are normally distributed with μ = 18 hr and o=1.15 hr. A test engineer takes a sample of 10 batteries and finds they last an average of 17.2 hr. 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 = 187) 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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