SOLUTION: A state meat inspector in Iowa has been given the assignment of estimating the mean net weight of packages of ground chuck labeled “3 pounds.” Of course, he realizes that the wei

Algebra.Com
Question 266751: A state meat inspector in Iowa has been given the assignment of estimating the mean
net weight of packages of ground chuck labeled “3 pounds.” Of course, he realizes that
the weights cannot be precisely 3 pounds. A sample of 36 packages reveals the mean
weight to be 3.01 pounds, with a standard deviation of 0.03 pounds.
a. What is the estimated population mean?
b. Determine a 95 percent confidence interval for the population mean.

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A state meat inspector in Iowa has been given the assignment of estimating the mean
net weight of packages of ground chuck labeled “3 pounds.” Of course, he realizes that
the weights cannot be precisely 3 pounds. A sample of 36 packages reveals the mean
weight to be 3.01 pounds, with a standard deviation of 0.03 pounds.
----------------------
a. What is the estimated population mean?
Point estimate = 3.01 lbs.
--------------------------------------
b. Determine a 95 percent confidence interval for the population mean.
sample mean = 3.01
E = invT(0.975,35)*0.03/sqrt(36) = 0.0102
------------------------
95% CI: 3.01-0.0102 < u < 3.01+0102
=======================================
Cheers,
Stan H.

RELATED QUESTIONS

A state meat inspector in Iowa has been given the assignment of estimating the mean net... (answered by stanbon)
Use the confidence level and sample data to find a confidence interval for estimating the (answered by rothauserc)
Two packages of meat have a combined weight of 5.75 kg. If one package weighs 3.28 kg,... (answered by Fombitz)
A package of Toys Galore Cereal is marked "Net Wt. 12 oz." The actual weight is normally... (answered by Boreal)
39 packages are randomly selected from packages received by a parcel service. The sample... (answered by Boreal)
the population of the united states is about 265 million. the probability that a citizen... (answered by checkley75)
The population of the United States is about 265 million. The probability that a citzen... (answered by stanbon)
the population of the united states is about 265 million. the probabilty that a citizen... (answered by rapaljer)
If 100 kg of meat is divided into packages of 4/7 each;the total number of packages will... (answered by macston)