A nutritionist wants to determine how much time nationally people spend eating and drinking. Suppose for a random sample of 902 people age 15 or​ older, the mean amount of time spent eating or drinking per day is 1.72 hours with a standard deviation of 0.65 hour. Complete parts ​(a) through ​(d) below.
​(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) There are more than 200 million people nationally 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. Select the correct choice below and fill in the answer​ boxes, if​ applicable, in your choice.
(a) Since the distribution of time spent eating and drinking each day is not normally distributed​ (skewed right), the sample must be large so that the distribution of the sample mean will be approximately normal.
(b)The sample size is less than​ 5% of the population
(c)The nutritionist is 95​% confident that the mean amount of time spent eating or drinking per day is between 1.678 and 1.762 hours.