Question

Asked Nov 16, 2019

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When using the central limit theorem for means with *n* = 57, it is not necessary to assume the distribution of the population data is normally distributed.

- True
- False

Step 1

Central limit theorem:

- According to the theorem, even if the population is not normal, the sample means have approximately a normal distribution as the sample size becomes large.
- If the population is normal, then the sample mean has a normal distribution. The mean of the distribution is µ with a standard error of σ/sqrt (n).
- The distribution of the sample mean converges to the population mean as the sample size increases.

Thus, the central l...

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