(Solved): LifeCharge Batteries claims that their batteries last an average of 200 hours when used in a ha ...

LifeCharge Batteries claims that their batteries last an average of 200 hours when used in a hand held gaming system, with a standard deviation of about 14 hours. An independent quality control company took a sample of 40 batteries, and used the same hand held gaming system that LifeCharge used to record the time the batteries lasted. Using this information, answer the following questions. For full marks your answer should be accurate to at least three decimal placiers. a) What the probability that the value of the sample mean is less than 199.3 hours? b) If the sample mean was found to be 199.2 , what does this say about the claim? The probability that the sample mean would be this low is small, casting doubt on the claimed value of the population mean The probability that the sample mean would be this low is not small enough to cast doubt on the claimed value of the population mean We do not have enough information to conclude either of these.