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How much time do Americans spend eating or drinking? 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 hours?
a) A histogram of time spent eating & 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 & 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 & interpret a 95% confidence interval for the mean amount of time Americans age 15 or older spend eating & drinking each day.
d) Could the interval be used to estimate the mean amount of time a 9-year-old American spends eating & drinking each day. Explain.
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