Asked by Greenlee Shipman on Jul 02, 2024
Verified
The meat department of a local supermarket packages ground beef using meat trays of two sizes: one designed to hold approximately 1.5 pounds of meat, and one that holds approximately 3 pounds. A random sample of 36 packages in the smaller meat trays produced weight measurements with an average of 1.51 pounds and a standard deviation of 0.20 pound.
Construct a 99% confidence interval for the average weight of all packages sold in the small meat trays by this supermarket chain.
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What does the phrase "99% confident" mean?
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Suppose that the quality control department of this supermarket chain intends that the amount of ground beef in the smaller trays should be 1.5 pound on average. Should the confidence interval in part (a) concern the quality control department?
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Explain.
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Standard Deviation
A metric that assesses the extent of variation or spread in a collection of data in relation to its average, demonstrating the degree to which the data values are scattered.
Confidence Interval
A set of values generated from sample data, believed to capture the value of an unspecified population parameter.
Ground Beef
Minced or finely chopped beef that is commonly used as a cooking ingredient.
- Grasp the fundamentals and application techniques of confidence intervals in the estimation of population parameters.
- Build and analyze confidence intervals for averages and ratios.
Verified Answer
AG
Alexandra GonzalezJul 02, 2024
Final Answer :
(1.4242, 1.5958); In repeated sampling, 99% of all intervals constructed in this manner will enclose mu.; No; Since the value 1.5 is contained in the interval in the previous question, it is one of several possible values for mu. The quality control department would have no reason to be concerned that the trays are being over or under-filled.
Learning Objectives
- Grasp the fundamentals and application techniques of confidence intervals in the estimation of population parameters.
- Build and analyze confidence intervals for averages and ratios.