Suppose the lifetime of incandescent light bulbs follow a normal distribution wi

Question

Suppose the lifetime of incandescent light bulbs follow a normal distribution with a mean of 1910.89 hours and a standard deviation of 63.5623 days. According to the Central Limit Theorem, what happens to the histogram of averages as n increases?

Question 2 options:

1) Increasing n will not affect the histogram of averages. 2) It depends on the mean and standard deviation. 3) The histogram will begin to look more like the original distribution. 4) The histogram will begin to look less like the normal curve. 5) The histogram will begin to look more like the normal curve.

Explanation / Answer

According to central limit theorem, as n increases, the sampling distribution becomes normal. Therefore, the correct option is:

5) The histogram will begin to look more like the normal curve.

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