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
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Expert Answer

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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Math

Statistics

Hypothesis Testing

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