Suppose for a random sample of 1001 Americans age 15 or older, the mean amount of time spent eating or drinking per day is 1.22 hours with a standard deviation of 0.65 hour.

(a) A histogram of time spent eating and drinking each day is skewed right. Use this result to explain why a large sample size is needed to construct a confidence interval for the mean time spent eating and drinking each day.

(b) In 2010, there were over 200 million Americans age 15 or older.Explain why this,along with the fact that the data were obtained using a random sample, satisfies the requirements for constructing a confidence interval.

(c) Determine and interpret a 95% confidence interval for the mean amount of time Americans age 15 or older spend eating and drinking each day.

(d) Could the interval be used to estimate the mean amount of time a 9-year-old American spends eating and drinking each day? Explain.