You work for a consumer watchdog publication and are testing the advertising cla

Question

You work for a consumer watchdog publication and are testing the advertising claims of a tire manufacturer The manufacturer clams that the Me spans of the tires are normally distrbuted. wth a mean of 40,000 mles and a standard deviation of 7500 mles. You test 16 tires and get the folowng life spars. Complete parts (a) through (c) below 47006 40.519 24.529 35.827 31.327 41.462 39 633 35,306 23667 28.354 35.504 37.072 32.872 30.137 36.281 42,488 esult O A. Life spans of tres Life spans of tires Life spans of tires Didance miles) Is it reasonable to assume that the life spans are normally dstributed?Why? choose the comect answer below A. Yes, because the histogram is symmetric and belshaped. O B. No, because the histogram is neither symmetric nor bell-shaped o C. Yes, because the histogram is neither symmetric nor bel shaped. o D. No, because the histogram is symmetric and bell-shaped (b) Find the mean of your sample The mean is (Round to one decimal place as needed) Find the standard deviation of your sample The standard deviation is D Round to one decimal place as needed) (c) Compare the mean and standard deviation of your sample with those in the manufacturer's claim. Discuss the diterences choose the comectanswer below O A The sample mean is less than the claimed mean, so, on average the ties in the sample lasted for a shorter time. The sample standard devationis greater than the claimed standard deviation, so the ties n the sample had a greater variation in lie span O B. The sample mean is greater than the claimed mean, so, on in the sample lasted or a longer time. The sample standard deviation s geater than the claimed standard deviation, so the tires in the sample had a greater variatoninife span C. The sample mean is less than the claimed mean, so, on average the tres in the sample lasted ashoner tme. The sample standad deviatonis less than he clamed standard de nation, so the tires in the sample had a smaler variation in life span. Click to select your answer(s)

Explanation / Answer

a) Yes it is reasonable to assume that the life spans are normally distributed as the histogram (B) is symmetric and bell shaped

b)mean of the sample is =35374

Standard deviation of the sample is = 6322.6

c) option C is right the sample mean and standard deviation is smaller than the population mean and standard deviation.

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