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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.

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.

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
Section10.4: Distributions Of Data
Problem 19PFA
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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?
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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