Asked Nov 16, 2019

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

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...

Want to see the full answer?

See Solution

Check out a sample Q&A here.

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



Hypothesis Testing

Related Statistics Q&A

Find answers to questions asked by student like you

Show more Q&A add

Q: Please show me how to do this equation

A: From the given information,Based on meteorological records,The probability that it will snow in a ce...


Q: In developing patient appointment schedules, a medical center wants to estimate the mean time that a...

A: Given:Standard deviation = σ = 9Margin of error = 2To find sample size for given confidence level.


Q: 15 a-b

A: a) According to the provided question, mean changes in hotel price of 47 major European cities and 5...


Q: for a X^2 distribution, 2 tailed, n=15, alpha =.02 find the critical values

A: Given that,Sample size (n) = 15Significance level = 0.02So, degree of freedom is,Degree of freedom =...


Q: Please show TI 84 steps

A: Introduction:The given alternative hypothesis, Ha: μ ≥ μ0 represents a right-tailed test.Thus, the c...


Q: find the critical value Z of alpha over 2 used to construct a confidence interval of 94%

A: Given that,Confidence level = 94%So, significance level is,Significance level = 1- Confidence level ...


Q: An environmental agency is analyzing water samples from 80 lakes for pollution. Five of the lakes ha...

A: Combination Rule:The arrangement of r objects from n different objects is given by:


Q: Please show me how to do this equation

A: From the question,It has been provided that the library has 3 books and have 18 different titles, no...


Q: The high price of medicines is a source of major expense for those seniors in the United States who ...

A: Confidence interval:The (1-α) % confidence interval for population mean µ, when σ is known is given ...