ts (a) through (d) below. Construct a 95% confidence interval estimate for the population mean life of light bulbs in this shipment. from a lower limit of 342.6 hours to an upper limit of 397.4 hours. e 95% confidence interval estimate pund to one decimal place as needed.) Do you think that the manufacturer has the right to state that the lightbulbs have a mean life of 420 hours? Explain. sed on the sample data, the manufacturer does not have the right to state that the lightbulbs have lightbulbs have a mean life of 420 hours. mean life of 420 hours. A mean of 420 hours is more than 3 standard errors above the sample mean, so it is highly unlikely that Must you assume that the population light bulb life is normally distributed? Explain. A. Yes, the sample size is not large enough for the sampling distribution of the mean to be approximately normal by the Central Limit Theorem. B. No, since a is known, the sampling distribution of the mean does not need to be approximately normally distributed. C. Yes, the sample size is too large for the sampling distribution of the mean to be approximately normal by the Central Limit Theorem. D. No, since o is known and the sample size large enough, the sampling distribution of the mean is approximately normal by the Central Limit Theorem. Suppose the standard deviation changes to 77 hours. What are your answers in (a) and (b)? e 95% confidence interval estimate would be from a lower limit of hours to an upper limit of hours. ound to one decimal place as needed.) sed on the sample data and a standard deviation of 77 hours, the manufacturer the right to state that the lightbulbs have a mean life of 420 hours. A mean of 420 hours is v standard errors V the sample ean, so it is V that the lightbulbs have a mean life of 420 hours.
ts (a) through (d) below. Construct a 95% confidence interval estimate for the population mean life of light bulbs in this shipment. from a lower limit of 342.6 hours to an upper limit of 397.4 hours. e 95% confidence interval estimate pund to one decimal place as needed.) Do you think that the manufacturer has the right to state that the lightbulbs have a mean life of 420 hours? Explain. sed on the sample data, the manufacturer does not have the right to state that the lightbulbs have lightbulbs have a mean life of 420 hours. mean life of 420 hours. A mean of 420 hours is more than 3 standard errors above the sample mean, so it is highly unlikely that Must you assume that the population light bulb life is normally distributed? Explain. A. Yes, the sample size is not large enough for the sampling distribution of the mean to be approximately normal by the Central Limit Theorem. B. No, since a is known, the sampling distribution of the mean does not need to be approximately normally distributed. C. Yes, the sample size is too large for the sampling distribution of the mean to be approximately normal by the Central Limit Theorem. D. No, since o is known and the sample size large enough, the sampling distribution of the mean is approximately normal by the Central Limit Theorem. Suppose the standard deviation changes to 77 hours. What are your answers in (a) and (b)? e 95% confidence interval estimate would be from a lower limit of hours to an upper limit of hours. ound to one decimal place as needed.) sed on the sample data and a standard deviation of 77 hours, the manufacturer the right to state that the lightbulbs have a mean life of 420 hours. A mean of 420 hours is v standard errors V the sample ean, so it is V that the lightbulbs have a mean life of 420 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
Related questions
Question
Part D only, please.
Transcribed Image Text: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 98 hours. A random sample of 49 light bulbs indicated a sample mean life of 370 hours. Complete
parts (a) through (d) below.
.....
a. Construct a 95% confidence interval estimate for the population mean life of light bulbs in this shipment.
The 95% confidence interval estimate is from a lower limit of 342.6 hours to an upper limit of 397.4 hours.
(Round to one decimal place as needed.)
b. Do you think that the manufacturer has the right to state that the lightbulbs have a mean life of 420 hours? Explain.
Based on the sample data, the manufacturer does not have the right to state that the lightbulbs have a mean life of 420 hours. A mean of 420 hours ismore than 3 standard errors above the sample mean, so it is highly unlikely that
the lightbulbs have a mean life of 420 hours.
c. Must you assume that the population light bulb life is normally distributed? Explain.
O A. Yes, the sample size is not large enough for the sampling distribution of the mean to be approximately normal by the Central Limit Theorem.
B. No, since o is known, the sampling distribution of the mean does not need to be approximately normally distributed.
C. Yes, the sample size is too large for the sampling distribution of the mean to be approximately normal by the Central Limit Theorem.
D. No, since o is known and the sample size is large enough, the sampling distribution of the mean is approximately normal by the Central Limit Theorem.
d. Suppose the standard deviation changes to 77 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.
(Round to one decimal place as needed.)
Based on the sample data and a standard deviation of 77 hours, the manufacturer
the right to state that the lightbulbs have a mean life of 420 hours. A mean of 420 hours is
standard errors
the sample
mean, so it is
that the lightbulbs have a mean life of 420 hours.
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