A nutritionist wants to determine how much time nationally people spend eating and drinking. Suppose for a rarndom sarhple of 1060 pcople age 15 or older, the mean amount of time spent oating or drinking per day is 1.95 hours with a standard deviation of 0.51 hour. Complete parts (a) through (d) below. (a) A histogram of time spent oating and drinking each day is skewed right. Usc this result to explain why a large sample size is needed to construct a conficerce interval for the mean time spent cating and drinking each day O A. The distribution of the sample mean will always be approximately normal O B. Since the distribution of time spent eating and drinking each day is normaly distributed, the sample must be large so that the distnbulion of the sample mean will be approximately normal. O C. Since the distribution of time spent eating and drinking cach day is not normaly distributed (skeverd right), the sample riust be laige so that the distrbution of the sample mean will be approximately normal. O D. The distribution of the sample mean will never be approximately ormal (b) There are more than 200 million people nnationally age 15 or older. Explain why this, along with the lact thal the data were obtained using a random sample, satisfies the requirements for constructing a confidence interval. O A. The sample size is less than 10% of the population O B. The sample size is greater tharn 5% of the population. OC. The sample size is less than 5% of the population. O D. The sample size is greater than 10% of the population (C Determine and interpret a 95% confidence interval for the meari amount of time Ainericans 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 cho ce (Type integers or docimals rounded to three decimal places as needed. Use accend ng oider) hours O A. The nutritionist is 95% confident that the mean amount of time spent eating or rirink ng per day is betweeri and Next Statcrunch

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A nutritionist wants to determine how much time nationally people spend eating and drinking. Suppose for a random sarnple of 1060 poople age 15 or oider, the moan amount of time spant oating or drinking per day is 1.95 hours
with a standard deviation of 0.51 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 cating and drinking each day
O A. The distribution of the sample mean will always be approximately normal.
O B. Since the distribution of time spent eating and drinking each day is normaly distnbuted, the sample must be large so that the distnbulion of the sample mean will be approximately normal
O C. Since the distribution of time spent eating and drinking each day is not normally distributed (skowerd right), the sample rriust be laige so that the distribution of the sample mean will be approximately normal.
O D. The distribution of the sample mean will never be approximately normal
(b) There are more than 200 million people nationaly age 15 or older. Ex plain why this, along witn the fact that the data were obtained using a random sample, satisfies the requirements for constructing a confidence interval.
O A. The sample size is less than 10% of the population.
O B. The sample size is greater tharn 5% of the population.
O C. The sample size is less than 5% of the population.
OD. The sarmple size
s greater than 10% of the population.
(C Determine and interpret a 95% confidence interval for the mean amount of time Ainericans 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 cho ce
(Type integers or decimals rounded to three decimal places as needed. Use accend ng oider)
and
hours
O A. The nutritionist is 05% confident that the mean amount of time spent eating or ririnking par dayiS betweeri
Next
Statcrunch
Transcribed Image Text:A nutritionist wants to determine how much time nationally people spend eating and drinking. Suppose for a random sarnple of 1060 poople age 15 or oider, the moan amount of time spant oating or drinking per day is 1.95 hours with a standard deviation of 0.51 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 cating and drinking each day O A. The distribution of the sample mean will always be approximately normal. O B. Since the distribution of time spent eating and drinking each day is normaly distnbuted, the sample must be large so that the distnbulion of the sample mean will be approximately normal O C. Since the distribution of time spent eating and drinking each day is not normally distributed (skowerd right), the sample rriust be laige so that the distribution of the sample mean will be approximately normal. O D. The distribution of the sample mean will never be approximately normal (b) There are more than 200 million people nationaly age 15 or older. Ex plain why this, along witn the fact that the data were obtained using a random sample, satisfies the requirements for constructing a confidence interval. O A. The sample size is less than 10% of the population. O B. The sample size is greater tharn 5% of the population. O C. The sample size is less than 5% of the population. OD. The sarmple size s greater than 10% of the population. (C Determine and interpret a 95% confidence interval for the mean amount of time Ainericans 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 cho ce (Type integers or decimals rounded to three decimal places as needed. Use accend ng oider) and hours O A. The nutritionist is 05% confident that the mean amount of time spent eating or ririnking par dayiS betweeri Next Statcrunch
A nutritionist wants to determine how much time nationally people spend cating and drinking Suppose tor a random sample of 1060 people age 15 or older, the mean amount of time spent eating or drinking per day is 1.95 hours
with a standard deviation of 0.51 hour. Complete parts (a) through (d) bolow
(c) Determine and interpret a 95% confidence interval for the mean amount of time Americans age 15 or oider spend cating 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 noodod. Uso ascending order.)
O A. The nutritionist is 95% contident thai the mean amount of time spent eating or drinking per day is between and
hours.
O B. The nutritionist is 95% confident that the amount of time spent oating or drinking per day for any individual is belween and hours
O C. There is a 95% probability that the mean amount of time spent eating or drinking per day is betveen and hours
O D. The requirements for constructing a confidence interval are not salisfied.
(d) Could the interval be used to estimate the mean armount of time a 9 year-old spends eating and drinking each day? Explain.
O A. No, the interval is about individual time spent eating or drinking per day and canot be used 1o find the mearrtime spent eating or drinking per day for specific age.
O B. Yes, the interval is about individual time spent eatinng or drinking per day and can be used to find the mean amount of time a 9-year oid spends eating and drinking each day.
O C. Yes; the interval is about the mean amount of time spent eat ng or drinking per day for poope people age 15 or oider and can be used to find the mean amount of time spent eating or drinking per day for 9 year-olds
O D. No; the interval is about people age 15 or older. The mean airount of time spent cating or drinking per day for 9-year-oids may differ
O E. A confidence interval couid not be coristructed in part (c).
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Transcribed Image Text:A nutritionist wants to determine how much time nationally people spend cating and drinking Suppose tor a random sample of 1060 people age 15 or older, the mean amount of time spent eating or drinking per day is 1.95 hours with a standard deviation of 0.51 hour. Complete parts (a) through (d) bolow (c) Determine and interpret a 95% confidence interval for the mean amount of time Americans age 15 or oider spend cating 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 noodod. Uso ascending order.) O A. The nutritionist is 95% contident thai the mean amount of time spent eating or drinking per day is between and hours. O B. The nutritionist is 95% confident that the amount of time spent oating or drinking per day for any individual is belween and hours O C. There is a 95% probability that the mean amount of time spent eating or drinking per day is betveen and hours O D. The requirements for constructing a confidence interval are not salisfied. (d) Could the interval be used to estimate the mean armount of time a 9 year-old spends eating and drinking each day? Explain. O A. No, the interval is about individual time spent eating or drinking per day and canot be used 1o find the mearrtime spent eating or drinking per day for specific age. O B. Yes, the interval is about individual time spent eatinng or drinking per day and can be used to find the mean amount of time a 9-year oid spends eating and drinking each day. O C. Yes; the interval is about the mean amount of time spent eat ng or drinking per day for poope people age 15 or oider and can be used to find the mean amount of time spent eating or drinking per day for 9 year-olds O D. No; the interval is about people age 15 or older. The mean airount of time spent cating or drinking per day for 9-year-oids may differ O E. A confidence interval couid not be coristructed in part (c). Next Statcrunch
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