Next Question ,507 hours. The population standard deviation is 700 hours. A random The quality-control manager at a compact fluorescent light bulb (CFL) factory needs to determine whether the mean life of a large shipment 49 light bulbs indicates a sample mean life of 7,357 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,507 hours? b. Compute the p-value and interpret its meaning. c. Construct a 95% confidence interval estimate of the population mean life of the light bulbs. d. Compare the results of (a) and (c). What conclusions do you reach?
Next Question ,507 hours. The population standard deviation is 700 hours. A random The quality-control manager at a compact fluorescent light bulb (CFL) factory needs to determine whether the mean life of a large shipment 49 light bulbs indicates a sample mean life of 7,357 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,507 hours? b. Compute the p-value and interpret its meaning. c. Construct a 95% confidence interval estimate of the population mean life of the light bulbs. d. Compare the results of (a) and (c). What conclusions do you reach?
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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Transcribed Image Text:The quality-control manager at a compact fluorescent light bulb (CFL) factory needs to determine whether the mean life of a large shipment of light bulbs is 7,507 hours. The population standard deviation is 700 hours. A random sample of 49 light bulbs indicates a sample mean life of 7,357 hours.
a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,507 hours?
b. Compute the p-value and interpret its meaning.
c. Construct a 95% confidence interval estimate of the population mean life of the light bulbs.
d. Compare the results of (a) and (c). What conclusions do you reach?
Explanation:
- **No graphs or diagrams are present in this text.**
- The text is structured as a problem set with four parts, guiding the reader through a statistical hypothesis testing process.
- It involves checking the significance of the difference between a sample mean and a population mean, calculating p-values, and constructing confidence intervals.
- The context focuses on quality control in a manufacturing setting, specifically related to the lifespan of light bulbs.
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