In a survey of 35 adult Americans, it was found that the mean age (in years) that people would like to live to is 87.9 with a standard deviation of 15.5. An analysis of the raw data indicates the distribution is skewed left.
(a) Explain why a large sample size is necessary to construct a confidence interval for the mean age that people would like to live.
(b) Construct and interpret a 95% confidence interval for the mean.
(c) How many adult Americans would need to be surveyed to estimate the mean age that people would like to live to within 2 years with 95% confidence?