A supermarket chain packages ground beef using meat trays of two sizes: one that holds approximately 1 pound of meat, and one that holds approximately 3 pounds. A random sample of 37 packages in the smaller meat trays produced weight measurements with an average of 1.02 pounds and a standard deviation of 0.12 pound. (a) Construct a 99% confidence interval for the average weight of all packages sold in the smaller meat trays by this supermarket chain. (Round your answers to three decimal places.) lb to lb (b) What does the phrase "99% confident" mean? O There is a 1% chance that an individual sample mean will fall within the interval. O In repeated sampling, 1% of all intervals constructed in this manner will enclose the population mean. O 99% of all values will fall within the interval. O There is a 99% chance that an individual sample mean will fall within the interval. O In repeated sampling, 99% of all intervals constructed in this manner will enclose the population mean. (c) Suppose that the quality control department of this supermarket chain intends that the amount of ground beef in the smaller trays should be 1 pound on average. Should the confidence interval in part (a) concern the quality control department? Explain. Based on the confidence interval, the quality control department ---Select---be concerned. Since 1 is ---Select-- ✓that u is different from 1. the interval, the interval ---Select---
A supermarket chain packages ground beef using meat trays of two sizes: one that holds approximately 1 pound of meat, and one that holds approximately 3 pounds. A random sample of 37 packages in the smaller meat trays produced weight measurements with an average of 1.02 pounds and a standard deviation of 0.12 pound. (a) Construct a 99% confidence interval for the average weight of all packages sold in the smaller meat trays by this supermarket chain. (Round your answers to three decimal places.) lb to lb (b) What does the phrase "99% confident" mean? O There is a 1% chance that an individual sample mean will fall within the interval. O In repeated sampling, 1% of all intervals constructed in this manner will enclose the population mean. O 99% of all values will fall within the interval. O There is a 99% chance that an individual sample mean will fall within the interval. O In repeated sampling, 99% of all intervals constructed in this manner will enclose the population mean. (c) Suppose that the quality control department of this supermarket chain intends that the amount of ground beef in the smaller trays should be 1 pound on average. Should the confidence interval in part (a) concern the quality control department? Explain. Based on the confidence interval, the quality control department ---Select---be concerned. Since 1 is ---Select-- ✓that u is different from 1. the interval, the interval ---Select---
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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I need help with all parts of this question 21
for (c)
The first option is should/should not, the second option is above/below/contained and the third option is do not suggest, or suggest
Transcribed Image Text:A supermarket chain packages ground beef using meat trays of two sizes: one that holds approximately 1 pound of meat, and one that holds approximately 3 pounds. A random sample of 37 packages in the smaller meat trays produced weight measurements with
an average of 1.02 pounds and a standard deviation of 0.12 pound.
(a) Construct a 99% confidence interval for the average weight of all packages sold in the smaller meat trays by this supermarket chain. (Round your answers to three decimal places.)
lb to
lb
(b) What does the phrase "99% confident" mean?
O There is a 1% chance that an individual sample mean will fall within the interval.
In repeated sampling, 1% of all intervals constructed in this manner will enclose the population mean.
O 99% of all values will fall within the interval.
O There is a 99% chance that an individual sample mean will fall within the interval.
O In repeated sampling, 99% of all intervals constructed in this manner will enclose the population mean.
(c) Suppose that the quality control department of this supermarket chain intends that the amount of ground beef in the smaller trays should be 1 pound on average. Should the confidence interval in part (a) concern the quality control department? Explain.
Based on the confidence interval, the quality control department ---Select---be concerned. Since 1 is ---Select--- the interval, the interval ---Select---
that is different from 1.
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