Question: 8. I bought a box with 500 LED mini lights for wedding decoration. My sample mean was 100 LED mini lights to ensure they work.

8. I bought a box with 500 LED mini lights for wedding decoration. My sample mean was 100 LED mini lights to ensure they work. My standard deviation was 25 LED mini lights that found to be defective. The population distribution is assumed to be normal. (EXTRA CREDIT - 10 POINTS) a. Identify the following:

a.1. xbar =

a.2. =

a.3. n =

b. What is the distribution used on this problem?

c. Construct a 95% CI for the population mean and state the EBM (error bound) and confidence interval.

d. Construct a 99% CI for the population mean time to complete the homework. State the EBM (error bound) and confidence interval.

e. As I increased my confidence level, what did happen to the confidence interval and why?

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