A statistics instructor randomly selected four bags of​ oranges, each bag labeled 10​ pounds, and weighed the bags. They weighed 9.2​, 9.4​, 9.7​, and 9.4 pounds.   Assume that the distribution of weights is Normal. Find a​ 95% confidence interval for the mean weight of all bags of oranges. Use technology for your calculations. Answer parts a and b below. a. Choose the correct interpretation of the confidence interval below​ and, if​ necessary, fill in the answer boxes to complete your choice.     A. There is a​ 95% chance that all intervals will be between nothing and nothing.   B. We are​ 95% confident the population mean is between nothing and nothing.   C. We are​ 95% confident that the sample mean is between nothing and nothing.   D. The requirements for constructing a confidence interval are not satisfied.

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A statistics instructor randomly selected four bags of​ oranges, each bag labeled 10​ pounds, and weighed the bags. They weighed
9.2​,
9.4​,
9.7​,
and
9.4
pounds.  
Assume that the distribution of weights is Normal. Find a​ 95% confidence interval for the mean weight of all bags of oranges. Use technology for your calculations. Answer parts a and b below.
a. Choose the correct interpretation of the confidence interval below​ and, if​ necessary, fill in the answer boxes to complete your choice.
 
 
A.
There is a​ 95% chance that all intervals will be between
nothing
and
nothing.
 
B.
We are​ 95% confident the population mean is between
nothing
and
nothing.
 
C.
We are​ 95% confident that the sample mean is between
nothing
and
nothing.
 
D.
The requirements for constructing a confidence interval are not satisfied.
A statistics instructor randomly selected four bags of oranges, each bag labeled 10 pounds, and weighed the bags. They weighed 9.2, 9.4, 9.7, and 9.4 pounds. O Assume that the distribution of weights is Normal.
Find a 95% confidence interval for the mean weight of all bags of oranges. Use technology for your calculations. Answer parts a and b below.
a. Choose the correct interpretation of the confidence interval below and, if necessary, fill in the answer boxes to complete your choice.
A. There is a 95% chance that all intervals will be between
and
B. We are 95% confident the population mean is between
and
C. We are 95% confident that the sample mean is between
and
D. The requirements for constructing a confidence interval are not satisfied.
(Type integers or decimals rounded to the nearest thousandth as needed. Use ascending order.)
Transcribed Image Text:A statistics instructor randomly selected four bags of oranges, each bag labeled 10 pounds, and weighed the bags. They weighed 9.2, 9.4, 9.7, and 9.4 pounds. O Assume that the distribution of weights is Normal. Find a 95% confidence interval for the mean weight of all bags of oranges. Use technology for your calculations. Answer parts a and b below. a. Choose the correct interpretation of the confidence interval below and, if necessary, fill in the answer boxes to complete your choice. A. There is a 95% chance that all intervals will be between and B. We are 95% confident the population mean is between and C. We are 95% confident that the sample mean is between and D. The requirements for constructing a confidence interval are not satisfied. (Type integers or decimals rounded to the nearest thousandth as needed. Use ascending order.)
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