You work for a consumer watchdog publication and are testing the advertising claims of a tire manufacturer. the manufacturer claims that the life spans of the tires are normally? distributed, with a mean of? 40,000 miles and a standard deviation of 7500 miles. you test 16 tires and get the following life spans. complete parts? (a) through? (c) below. is it reasonable to assume that the life spans are normally? distributed? why? choose the correct answer below. a.? yes, because the histogram is neither symmetric nor? bell-shaped. b.yes, because the histogram is symmetric and? bell-shaped. c.no, because the histogram is neither symmetric nor? bell-shaped. d.? no, because the histogram is symmetric and? bell-) find the mean of your sample. the mean ? (round to one decimal place as? needed.)find the standard deviation of your sample. the standard deviation ? (round to one decimal place as? needed.)compare the mean and standard deviation of your sample with those in the? manufacturer's claim. discuss the differences. choose the correct answer below. a.the sample mean is greater than the claimed? mean, so, on? average, the tires in the sample lasted for a longer time. the sample standard deviation is greater than the claimed standard? deviation, so the tires in the sample had a greater variation in life span. b.the sample mean is less than the claimed? mean, so, on? average, the tires in the sample lasted for a shorter time. the sample standard deviation isgreater than the claimed standard? deviation, so the tires in the sample had greater variation in life span. c.the sample mean is less than the claimed? mean, so, on? average, the tires in the sample lasted for a shorter time. the sample standard deviation isless than the claimed standard? deviation, so the tires in the sample had a smallersmaller variation in life span.