# 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.TrueFalse

Question
1 views

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
check_circle

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...

### Want to see the full answer?

See Solution

#### Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in