An electronic manufacturer produces lampshades with a life span of approximately normally distributed with a standard deviation of 35 hours. a. If a sample of 50 bulbs has an average life span of 835 hours, construct 95% confidence interval for the average life span of all the lampshades produced. Interpret the result. b. What must be the sample size if the manufacturer wishes to be 99% confident that the estimate is within 10 hours of the correct mean? Interpret the result.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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An electronic manufacturer produces lampshades
with a life span of approximately normally
distributed with a standard deviation of 35 hours.
a. If a sample of 50 bulbs has an average life span of
835 hours, construct 95% confidence interval for the
average life span of all the lampshades produced.
Interpret the result.
b. What must be the sample size if the manufacturer
wishes to be 99% confident that the estimate is
within 10 hours of the correct mean? Interpret the
result.
Transcribed Image Text:An electronic manufacturer produces lampshades with a life span of approximately normally distributed with a standard deviation of 35 hours. a. If a sample of 50 bulbs has an average life span of 835 hours, construct 95% confidence interval for the average life span of all the lampshades produced. Interpret the result. b. What must be the sample size if the manufacturer wishes to be 99% confident that the estimate is within 10 hours of the correct mean? Interpret the result.
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