Purchase Solution

Central Limit Theorem of Mean

Not what you're looking for?

Ask Custom Question

What are the main characteristics/points of the Central Limit Theorem for a mean?

Purchase this Solution
Solution Summary

This solution describes main characteristics of the Central Limit Theorem for mean in approximately 180 words.

Solution Preview

Please see the attached file for complete solution. Work done with the help of equation writer may not print here.

Answer :

When sampling is from a normal population, the means of samples are normally distributed. When sampling is from an unknown or nor-normal population, size of sample plays a crucial role. If sample size ...

Solution provided by:
Lokesh Jain, MSc
Education
  • BEng (Hons) , Birla Institute of Technology and Science, India
  • MSc (Hons) , Birla Institute of Technology and Science, India
Recent Feedback
  • "Thank you"
  • "Really great step by step solution"
  • "I had tried another service before Brain Mass and they pale in comparison. This was perfect."
  • "Thanks Again! This is totally a great service!"
  • "Thank you so much for your help!"
Purchase this Solution
Free BrainMass Quizzes
Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

View More Free Quizzes
Related BrainMass Solutions

  • normally distributed population has mean and standard deviation

    196145 Central Limit Theorem and Population Samples A normally distributed population has a mean of 40 and a standard deviation of 12.

  • Statistics: Probability density function, central limit theorem

    +Xn) / n (a) Show that the mean and variances of the probability density function of Xbar are given as E(Xbar) = μ Var(Xbar) = (σ^2)/n b) What is the central limit theorem?

  • Central Limit Theorum

    Said another way, the Central Limit Theorem states that as sample size increases, the sampling distribution of sample means approaches that of a normal distribution with a mean the same as the population and a standard deviation equal to the standard

  • Central Limit Theorem and Population Shape

    297562 Central Limit Theorem and Population Shape 1. State the main points of the Central Limit Theorem for a mean. 2. Why is population shape of concern when estimating a mean? What does sample size have to do with all?

  • Important information about Central Limit Theorem

    203351 Central Limit Theorem Proof What evidence do we have that the Central Limit Theorem is true? Why do so many of life's events share the same characteristics with Central Limit Theorem?

  • Sample mean probabilities with the central limit theorem

    It describes the central limit theorem and gives details of the solution to this problem using the central limit theorem. This solution finds probabilities related to a sample mean by applying the central limit theorem.

  • Central Limit Theorem

    Instead, we take a random sample and measure the heights of those selected. The central limit theorem states that, for any collection of samples, the mean of the mean values for those samples will approach the mean of the population.

  • Application of central limit theorem

    The mean and the standard error of the mean are? Since samples of size 81 is larger enough, by central limit theorem, the sample has approximately normal distribution with mean=200 and standard deviation=18/sqrt(81)=18/9=2.

  • Standard Deviation and The Central Limit Theorem

    171803 Standard Deviation and The Central Limit Theorem 1. Assume that blood pressure readings are normally distributed with a mean of 117 and a standard deviation of a = 6.4.

View More Related Solutions