Lifespan:Assume the average life-span of those born in the U.S. is78.2years with a standard deviation of16years. The distribution is not normal (it is skewed left). The good people atLive-Longer-USA(fictitious) claim that their regiment of acorns and exercise results in longer life. So far,45people on this program have died and the mean age-of-death was85.1years.

(a) Calculate the probability that a random sample of45people from the general population would have a mean age-of-death greater than85.1years.Round your answer to 4 decimal places.

(b) Which statement best describes the situation for those in theLive Longerprogram?

This provides solid evidence that acorns and exercise have nothing to do with age-of-death.

Since the probability of getting a sample of 45 people with a mean age-of-death greater than those in theLive Longerprogram is so small, this suggests that people enrolled in the program actually live longer on average.

This provides solid evidence that acorns and exercisecausepeople to live longer.

(c) Why could we use the central limit theorem here despite the parent population being skewed?

Because the sample size is greater than 20.

Because the sample size is greater than 30.

Because skewed-left is almost normal.

Because the sample size is less than 100.