The quality-control manager at a compact fluorescent light bulb (CFL) factory needs to determine whether the mean life of a large shipment of CFLs is equal to 7,461 hours. The population standard deviation is 92 hours. A random sample of 64 light bulbs indicates a sample mean life of 7,438 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,461 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? a. Let u be the population mean. Determine the null hypothesis, Ho, and the alternative hypothesis, H₁. H₁:μ= H₁: μ

MATLAB: An Introduction with Applications
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The quality-control manager at a compact fluorescent light bulb (CFL) factory needs to determine whether the mean
life of a large shipment of CFLs is equal to 7,461 hours. The population standard deviation is 92 hours. A random
sample of 64 light bulbs indicates a sample mean life of 7,438 hours.
a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,461 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?
a. Let u be the population mean. Determine the null hypothesis, Ho, and the alternative hypothesis, H₁.
H₁:μ=
H₁: μ
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 CFLs is equal to 7,461 hours. The population standard deviation is 92 hours. A random sample of 64 light bulbs indicates a sample mean life of 7,438 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,461 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? a. Let u be the population mean. Determine the null hypothesis, Ho, and the alternative hypothesis, H₁. H₁:μ= H₁: μ
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