3. exande: Avernon OF SO SO NOTES ECON 15B 3. A package of light bulbs promises an average life of more than 750 hours per bulb. A consumer group did not believe the claim and tested a sample of 40 bulbs. The average lifetime of these 40 bulbs was 740 hours with s = 30 hours. The manufacturer responded that its claim was based on testing hundreds of bulbs. d. If the consumer group and manufacturer both make 95% confidence intervals for the population's average lifetime, whose will probably be shorter? Can you tell for certain? b. Given the usual sampling assumptions, is there a 95% probability that 750 lies in the 95% confidence interval of the manufacturer? Is the manufacturer's confidence interval more likely to contain the population mean because it is based on a larger sample?

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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3.
exande: Avernon
OF
SO
SO
NOTES
ECON 15B
3. A package of light bulbs promises an average life of more than 750 hours per bulb. A consumer
group did not believe the claim and tested a sample of 40 bulbs. The average lifetime of these
40 bulbs was 740 hours with s = 30 hours. The manufacturer responded that its claim was
based on testing hundreds of bulbs.
d. If the consumer group and manufacturer both make 95% confidence intervals for the
population's average lifetime, whose will probably be shorter?
Can you tell for certain?
b. Given the usual sampling assumptions, is there a 95% probability that 750 lies in the
95% confidence interval of the manufacturer?
Is the manufacturer's confidence interval more likely to contain the population mean
because it is based on a larger sample?
Transcribed Image Text:3. exande: Avernon OF SO SO NOTES ECON 15B 3. A package of light bulbs promises an average life of more than 750 hours per bulb. A consumer group did not believe the claim and tested a sample of 40 bulbs. The average lifetime of these 40 bulbs was 740 hours with s = 30 hours. The manufacturer responded that its claim was based on testing hundreds of bulbs. d. If the consumer group and manufacturer both make 95% confidence intervals for the population's average lifetime, whose will probably be shorter? Can you tell for certain? b. Given the usual sampling assumptions, is there a 95% probability that 750 lies in the 95% confidence interval of the manufacturer? Is the manufacturer's confidence interval more likely to contain the population mean because it is based on a larger sample?
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