The quality control manager at a light bulb factory needs to estimate the mean life of a large shipment of light bulbs. The standard deviation is 84 hours. A random sample of 49 light bulbs indicated a sample mean life of 270 hours. Suppose the standard deviation changes to 63 hours. What are your answers in (a) and (b)? The 95% confidence interval estimate would be from a lower limit of ______ hours to an upper limit of _______ hours. My answer for (a) is: The 95% confidence interval estimate is from a lower limit of 246.5 hours to an upper limit of 293.5 hours. My answer for (b) is: Based on the sample data, the manufacturer does not have the right to state that the lightbulbs have a mean life of 320 hours. A mean of 320 hours is more than 4 standard errors above the sample mean, so it is highly unlikely that the lightbulbs have a mean life of 320 hours.
The quality control manager at a light bulb factory needs to estimate the mean life of a large shipment of light bulbs. The standard deviation is 84 hours. A random sample of 49 light bulbs indicated a sample mean life of 270 hours. Suppose the standard deviation changes to 63 hours. What are your answers in (a) and (b)? The 95% confidence interval estimate would be from a lower limit of ______ hours to an upper limit of _______ hours. My answer for (a) is: The 95% confidence interval estimate is from a lower limit of 246.5 hours to an upper limit of 293.5 hours. My answer for (b) is: Based on the sample data, the manufacturer does not have the right to state that the lightbulbs have a mean life of 320 hours. A mean of 320 hours is more than 4 standard errors above the sample mean, so it is highly unlikely that the lightbulbs have a mean life of 320 hours.
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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Question
The quality control manager at a light bulb factory needs to estimate the mean life of a large shipment of light bulbs. The standard deviation is 84 hours. A random sample of 49 light bulbs indicated a sample mean life of 270 hours.
Suppose the standard deviation changes to 63
hours. What are your answers in (a) and (b)?
hours. What are your answers in (a) and (b)?
The 95% confidence interval estimate would be from a lower limit of ______
hours to an upper limit of _______ hours.
hours to an upper limit of _______ hours.
My answer for (a) is:
The 95% confidence interval estimate is from a lower limit of
246.5 hours to an upper limit of 293.5 hours.
My answer for (b) is:
Based on the sample data, the manufacturer
does not have the right to state that the lightbulbs have a mean life of
320 hours. A mean of 320 hours is more than 4 standard errors above
the sample mean, so it is highly unlikely that the lightbulbs have a mean life of 320 hours.
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