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K A nutritionist wants to determine how much time nationally people spend eating and drinking Suppose for a random sample of 925 people age 15 or older the mean amount of time spent eating or drinking per day is 1 28 hours with a standard deviation of 0 64 hour Complete parts a through d below GEILE 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 The distribution of the sample mean will never be approximately normal OB The distribution of the sample mean will always be approximately normal OC Since the distribution of time spent eating and drinking each day is normally distributed the sample must be large so that the distribution of the sample mean will be approximately normal OD 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 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 less than 5 of the population OB The sample size is greater than 5 of the population C The sample size is greater than 10 of the population OD The sample size is less than 10 of the population c Determine and interpret a 90 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 OA The nutritionist is 90 confident that the amount of time spent eating or drinking per day for any individual is between and hours OB There is a 90 probability that the mean amount of time spent eating or drinking per day is between and hours OC The nutritionist is 90 confident that the mean amount of time spent eating or drinking per day is between and hours OD The requirements for constructing a confidence interval are not satisfied d Could the interval be used to estimate the mean amount of time a 9 year old spends eating and drinking each day Explain OA Yes the interval is about the mean amount of time spent eating or drinking per day for people people age 15 or older and can be used to find the mean amount of time spent eating or drinking per day for 9 year olds OB Yes the interval is about individual time spent eating or drinking per day and can be used to find the mean amount of time a 9 year old spends eating and drinking each day O C No the interval is about individual time spent eating or drinking per day and cannot be used to find the mea time spent eating or drinking per day for specific age O D No the interval is about people age 15 or older The mean amount of time spent eating or drinking per day for 9 year olds may differ

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