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1. A soft-drink manufacturer purchases aluminum cans from an outside vendor. A random sample of 80 cans is selected from a large shipment, and each is tested for strength by applying an increasing load to the side of the can until it punctures. Of the 80 cans, 66 meet the specification for puncture resistance. a. Find a 95% confidence interval for the proportion of cans in the shipment that meet the specification. Round the answers to three decimal places. b. Find a 90% confidence interval for the proportion of cans in the shipment that meet the specification. Round the answers to three decimal places. c. If a 90% confidence interval is computed each day for 300 days, what is the probability that more than 280 of the confidence intervals cover the true proportions? Round the answer to three decimal places.

1. A soft-drink manufacturer purchases aluminum cans from an outside vendor. A random sample of 80 cans is selected from a large shipment, and each is tested for strength by applying an increasing load to the side of the can until it punctures. Of the 80 cans, 66 meet the specification for puncture resistance. a. Find a 95% confidence interval for the proportion of cans in the shipment that meet the specification. Round the answers to three decimal places. b. Find a 90% confidence interval for the proportion of cans in the shipment that meet the specification. Round the answers to three decimal places. c. If a 90% confidence interval is computed each day for 300 days, what is the probability that more than 280 of the confidence intervals cover the true proportions? Round the answer to three decimal places.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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 13PPS
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1. A soft-drink manufacturer purchases aluminum cans from an outside vendor. A random sample of 80 cans is selected from a large shipment, and each is tested for strength by applying an increasing load to the side of the can until it punctures. Of the 80 cans, 66 meet the specification for puncture resistance. a. Find a 95% confidence interval for the proportion of cans in the shipment that meet the specification. Round the answers to three decimal places. b. Find a 90% confidence interval for the proportion of cans in the shipment that meet the specification. Round the answers to three decimal places. c. If a 90% confidence interval is computed each day for 300 days, what is the probability that more than 280 of the confidence intervals cover the true proportions? Round the answer to three decimal places.
Transcribed Image Text:1. A soft-drink manufacturer purchases aluminum cans from an outside vendor. A random sample of 80 cans is selected from a large shipment, and each is tested for strength by applying an increasing load to the side of the can until it punctures. Of the 80 cans, 66 meet the specification for puncture resistance. a. Find a 95% confidence interval for the proportion of cans in the shipment that meet the specification. Round the answers to three decimal places. b. Find a 90% confidence interval for the proportion of cans in the shipment that meet the specification. Round the answers to three decimal places. c. If a 90% confidence interval is computed each day for 300 days, what is the probability that more than 280 of the confidence intervals cover the true proportions? Round the answer to three decimal places.
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