In order to determine the average weight of carry-on luggage by passengers in airplanes, a sample of 47 pieces of carry-on luggage was weighed. The average weight was 32 pounds. Assume that we know the standard deviation of the population to be 3 pounds. Also, assume the population is normally distributed. a. b. Determine an 80% confidence interval estimate for the population mean weight of the carry-on luggage. Determine a 95% confidence interval estimate for the population mean weight of the carry-on luggage.
In order to determine the average weight of carry-on luggage by passengers in airplanes, a sample of 47 pieces of carry-on luggage was weighed. The average weight was 32 pounds. Assume that we know the standard deviation of the population to be 3 pounds. Also, assume the population is normally distributed. a. b. Determine an 80% confidence interval estimate for the population mean weight of the carry-on luggage. Determine a 95% confidence interval estimate for the population mean weight of the carry-on luggage.
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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![In order to determine the average weight of carry-on luggage by passengers in airplanes, a
sample of 47 pieces of carry-on luggage was weighed. The average weight was 32 pounds.
Assume that we know the standard deviation of the population to be 3 pounds. Also, assume
the population is normally distributed.
a.
b.
Determine an 80% confidence interval estimate for the population mean weight of the
carry-on luggage.
Determine a 95% confidence interval estimate for the population mean weight of the
carry-on luggage.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9d6fd963-3a84-470a-8f40-942738ed2a01%2F8f88980d-2c16-4ea0-a42b-50a77d78441a%2Ffw346ja_processed.png&w=3840&q=75)
Transcribed Image Text:In order to determine the average weight of carry-on luggage by passengers in airplanes, a
sample of 47 pieces of carry-on luggage was weighed. The average weight was 32 pounds.
Assume that we know the standard deviation of the population to be 3 pounds. Also, assume
the population is normally distributed.
a.
b.
Determine an 80% confidence interval estimate for the population mean weight of the
carry-on luggage.
Determine a 95% confidence interval estimate for the population mean weight of the
carry-on luggage.
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Step 1: Determine the parameters and statistic:
VIEWStep 2: a. Find the critical value for 80% confidence level
VIEWStep 3: Find the 80% confidence interval estimate:
VIEWStep 4: b. Find the critical value for 95% confidence level
VIEWStep 5: b. Find the 95% confidence interval estimate:
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