The U.S. Dairy Industry wants to estimate the mean yearly milk consumption. A sa
ID: 3252819 • Letter: T
Question
The U.S. Dairy Industry wants to estimate the mean yearly milk consumption. A sample of 14 people reveals the mean yearly consumption to be 60 gallons with a standard deviation of 20 gallons.
For a 95% confidence interval, what is the value of t? (Round your answer to 3 decimal places.)
Develop the 95% confidence interval for the population mean. (Round your answers to 3 decimal places.)
The U.S. Dairy Industry wants to estimate the mean yearly milk consumption. A sample of 14 people reveals the mean yearly consumption to be 60 gallons with a standard deviation of 20 gallons.
Explanation / Answer
The U.S. Dairy Industry wants to estimate the mean yearly milk consumption. A sample of 14 people reveals the mean yearly consumption to be 60 gallons with a standard deviation of 20 gallons.
(a-1)
What is the value of the population mean?
Unknown as we do not know population mean.
(a-2)
What is the best estimate of this value?
Estimate population mean
60 which is sample mean
(c)
For a 95% confidence interval, what is the value of t? (Round your answer to 3 decimal places.)
Value of t
2.160 using excel function =TINV(0.05,13)
(d)
Develop the 95% confidence interval for the population mean. (Round your answers to 3 decimal places.)
Confidence interval for the population mean is and .
95% confidence interval =mean-t*s/sqrt(n) , mean-t*s/sqrt(n)
=60-2.160*20/sqrt(14) , 60+2.160*20/sqrt(14)
=(48.454 71.546)
(e)
Would it be reasonable to conclude that the population mean is 52 gallons?
Yes, because 52 is contained in 95% confidence interval
The U.S. Dairy Industry wants to estimate the mean yearly milk consumption. A sample of 14 people reveals the mean yearly consumption to be 60 gallons with a standard deviation of 20 gallons.
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