1. Norma light knows that the lifetimes of light-bulbs at her factory are normal

Question

1. Norma light knows that the lifetimes of light-bulbs at her factory are normally distributed with a mean of 500 hours and a standard deviation of 100 hours.

b. Suppose that Norma's light-bulbs come in 4-packs, and we can assume that each pack is one random sample. We now choose 64 (4-packs) at random and for each pack we measure the lifetime of each of the four bulbs and compute the mean of the pack.

What is the mean of the distribution of the means?
What is the standard error of the means?

How do I calculate this?

Explanation / Answer

I figured this out on my own

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