3) A random sample of 1001 Americans aged 15 or olderrevealed that the amount of time spent eating or drinking per dayis 1.22 hours, with a standard deviation of 0.65hours.
a) Suppose a histogram of time spent eating and drinkingwere right-skewed. Use this result to explain why a large samplesize is needed in order to construct a confidence interval for themean time spent eating and drinking each day. (2points)
b) There are over 215 million Americans aged 15 andolder. Explain why this fact, and the fact that our sample was atrue random sample, satisfies the requirements for constructing aconfidence interval. (2 points)
c) Construct 90%, 95% and 99% confidence intervals forthe mean amount of time Americans aged 15 and older spend eatingand drinking per day. Be sure to show all work (or, if usingStatCrunch, paste your output to this document) and provide aproper interpretation for each interval