For the problem, use a cutoff value of 5%. 1) Sampling Distribution for Sample Means -...

 

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For the problem, use a cutoff value of 5%. 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 mu = 18 hr and sigma = 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) ii) 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 P(X= 17.2), under the assumption that mu = 18?) 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 mu= 18 hr is true?) briefly explain your answer. b) A student is working on his science fair project. He hypothesizes that the average height of a certain native plant is normally distributed with mu = 10 cm and sigma = 1.2 cm. To test his theory, he finds 25 mature plants and measures their heights. If he determines the average height of his sample to be 10.2 cm, does he have evidence to support his hypothesis? i) ii) How likely is the student to find an average height as tall as (or taller than) 10.2 cm, if his hypothesized population mean of 10 cm is correct? (That is, what is P(X > 10.2), under the assumption that mu = 10?) Does the student have evidence to support his hypothesis? (That is, is he likely to find a sample like the one he found, assuming that mu = 10 in is true?) YES or NO and Briefly explain your answer. For the problem, use a cutoff value of 5%. 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 mu = 18 hr and sigma = 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) ii) 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 P(X= 17.2), under the assumption that mu = 18?) 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 mu= 18 hr is true?) briefly explain your answer. b) A student is working on his science fair project. He hypothesizes that the average height of a certain native plant is normally distributed with mu = 10 cm and sigma = 1.2 cm. To test his theory, he finds 25 mature plants and measures their heights. If he determines the average height of his sample to be 10.2 cm, does he have evidence to support his hypothesis? i) ii) How likely is the student to find an average height as tall as (or taller than) 10.2 cm, if his hypothesized population mean of 10 cm is correct? (That is, what is P(X > 10.2), under the assumption that mu = 10?) Does the student have evidence to support his hypothesis? (That is, is he likely to find a sample like the one he found, assuming that mu = 10 in is true?) YES or NO and Briefly explain your answer.

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Answer a To determine if the manufacturer can confidently advertise the lifetime of their new batteries we need to perform hypothesis testing i Lets d... View the full answer