APFIVE Central Limit Theorem Application
Which of the following is an example of applying the central limit theorem to approximate the probability that the sample mean for the life expectancy of naked mole rats is between $$20$$ and $$22$$ years, given that the life expectancy is normally distributed with $$\mu=21$$ years and $$\sigma=3$$ years, for a sample size of $$n=40$$?
| Population Parameter | Value |
|---|---|
| Mean ($$\mu$$) | 21 |
| Standard Deviation ($$\sigma$$) | 3 |
| Sample Size ($$n$$) | 40 |
A
Using $$invNorm(0.5, 21, (3/\sqrt{40}))$$ to find the sample mean corresponding to the median.
B
Applying the empirical rule without converting to a z-score.
C
Using $$normalcdf(20, 22, 21, 3)$$ without adjusting the standard deviation.
D
Using $$normalcdf(20, 22, 21, (3/\sqrt{40}))$$ to compute the probability.
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