In 2018, the Simple Dollar website reported that the mean life of 14-watt compact fluorescent lights (CFLs)

Question:

In 2018, the Simple Dollar website reported that the mean life of 14-watt compact fluorescent lights (CFLs) is 8000 hours. Assume that for this population the standard deviation for CFL life is 480. Suppose the U.S. Department of Energy would like to select a random sample of 35,000 from the population of 14-watt CFLs for a follow-up study.

a. Show the sampling distribution of x̅, the sample mean for a sample of 35,000 individuals from this population.

b. What is the probability that a simple random sample of 35,000 individuals from this population will provide a sample mean that is within four hours of the population mean?

c. What is the probability that a simple random sample of 35,000 individuals from this population will provide a sample mean that is within one hour of the population mean?

d. Suppose the mean life of a sample of 35,000 14-watt CFLs differs from the population mean life by more than four hours. How would you interpret this result?

Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...

Fantastic news! We've Found the answer you've been seeking!