Quick Start Company makes 12-volt car batteries. After many years of product testing, the company knows that the average life of a Quick Start battery is normally distributed, with a mean of 46.6 months and a standard deviation of 6.7 months. USE SALT (a) If Quick Start guarantees a full refund on any battery that fails within the 36-month period after purchase, what percentage of its batteries will the company expect to replace? (Round your answer to two decimal places.) % (b) If Quick Start does not want to make refunds for more than 6% of its batteries under the full-refund guarantee policy, for how long should the company guarantee the batteries (to the nearest month)? months
Quick Start Company makes 12-volt car batteries. After many years of product testing, the company knows that the average life of a Quick Start battery is normally distributed, with a mean of 46.6 months and a standard deviation of 6.7 months. USE SALT (a) If Quick Start guarantees a full refund on any battery that fails within the 36-month period after purchase, what percentage of its batteries will the company expect to replace? (Round your answer to two decimal places.) % (b) If Quick Start does not want to make refunds for more than 6% of its batteries under the full-refund guarantee policy, for how long should the company guarantee the batteries (to the nearest month)? months
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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![Quick Start Company makes 12-volt car batteries. After many years of product testing, the company knows that the average life of a
Quick Start battery is normally distributed, with a mean of 46.6 months and a standard deviation of 6.7 months.
USE SALT
(a) If Quick Start guarantees a full refund on any battery that fails within the 36-month period after purchase, what percentage
of its batteries will the company expect to replace? (Round your answer to two decimal places.)
%
(b) If Quick Start does not want to make refunds for more than 6% of its batteries under the full-refund guarantee policy, for
how long should the company guarantee the batteries (to the nearest month)?
months](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F29c548e8-67ee-420f-9864-c921ec696bc8%2Fd1744417-f60c-4410-93ff-87a6652d5127%2Fud3r5ki_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Quick Start Company makes 12-volt car batteries. After many years of product testing, the company knows that the average life of a
Quick Start battery is normally distributed, with a mean of 46.6 months and a standard deviation of 6.7 months.
USE SALT
(a) If Quick Start guarantees a full refund on any battery that fails within the 36-month period after purchase, what percentage
of its batteries will the company expect to replace? (Round your answer to two decimal places.)
%
(b) If Quick Start does not want to make refunds for more than 6% of its batteries under the full-refund guarantee policy, for
how long should the company guarantee the batteries (to the nearest month)?
months
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