A nutritionist wants to determine how much time nationally people spend eating and drinking Suppose for a random sample of 1021 people age 15 or older, the mean amount of time spent eating or drinking per day is 1.68 hours with a standard deviation of 0.53 hour. Complete parts (a) through (d) below. Click the icon to view the table of critical t-values. GLEEN (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. OA. Since the distribution of time spent eating and drinking each day is highly skewed right, a large sample size is needed to minimize the margin of error to ensure only the peak of the sampling distribution is captured in the confidence interval. OB. Since the distribution of time spent eating and drinking each day is highly skewed right, a large sample size is necessary to ensure that the distribution of the sample mean is approximately normal OC. Since the distribution of time spent eating and drinking each day is highly skewed right, a large sample size is needed to maximize the margin of error to ensure that both tails are accounted for in the confidence interval. OD. Since the distribution of time spent eating and drinking each day is highly skewed right, a large sample size is needed to ensure that it contains at least 5% of the population (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 OA. The sample size is greater than 10% of the population. OB. The sample size is less than 10% of the population. O C. The sample size is less than 5% of the population. OD. The sample size is greater than 5% of the population (c) Determine and interpret a 99% 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 (Type integers or decimals rounded to three decimal places as needed Use ascending order) QA There is a 99% probability that the mean amount of time spent eating or drinking per day is between and hours.