1. The quality control manager at a light bulb factory needs to estimate the mean life of a new type of light bulb. The population standard deviation is assumed to be 60 hours. A random sample of 32 lights shows a sample mean life of 490 hours. Construct and explain a 95% confidence inverval estimate of the population mean life of the new light bulb.
1. The quality control manager at a light bulb factory needs to estimate the mean life of a new type of light bulb. The population standard deviation is assumed to be 60 hours. A random sample of 32 lights shows a sample mean life of 490 hours. Construct and explain a 95% confidence inverval estimate of the population mean life of the new light bulb.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![1. The quality control manager at a light bulb factory needs to estimate the mean life of a new
type of light bulb. The population standard deviation is assumed to be 60 hours. A random
sample of 32 lights shows a sample mean life of 490 hours. Construct and explain a 95%
confidence inverval estimate of the population mean life of the new light bulb.
2. A survey of first time home buyers found that the sample mean annual income was $46,300.
Assume that the survey used a sample of 28 first time home buyers and that the sample
standard deviation was $1,100. Compute and explain a 90% confidence interval estimate of
the population mean.
3. A telphone poll of 850 American adults asked "where would you rather go i your spare time?
One response by 255 adults, was "the mall'. Compute and explain a 98% confidence interval
estimate of the proportion of all American adults would respond "the mall".
4. For purpose #1l above size sample would be needed to achieve a margin of error of 15 hours
or less?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbae6ddb6-b12f-468f-a7d2-0338e878b932%2Fe2812de5-989a-41ce-9d07-c085fa3776d0%2Fzpf43os_processed.png&w=3840&q=75)
Transcribed Image Text:1. The quality control manager at a light bulb factory needs to estimate the mean life of a new
type of light bulb. The population standard deviation is assumed to be 60 hours. A random
sample of 32 lights shows a sample mean life of 490 hours. Construct and explain a 95%
confidence inverval estimate of the population mean life of the new light bulb.
2. A survey of first time home buyers found that the sample mean annual income was $46,300.
Assume that the survey used a sample of 28 first time home buyers and that the sample
standard deviation was $1,100. Compute and explain a 90% confidence interval estimate of
the population mean.
3. A telphone poll of 850 American adults asked "where would you rather go i your spare time?
One response by 255 adults, was "the mall'. Compute and explain a 98% confidence interval
estimate of the proportion of all American adults would respond "the mall".
4. For purpose #1l above size sample would be needed to achieve a margin of error of 15 hours
or less?
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