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What would be the mean, variance, standard deviation and shape of the distribution of sample means?

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If many samples of size 15 (that is, each sample consists of 15 items) were taken from a large normal population with a mean of 18 and variance of 5, what would be the mean, variance, standard deviation and shape of the distribution of sample means? Give reasons for your answers.

Note: Variance is the square of the standard deviation.

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Solution Summary

Solution discusses mean, standard deviation and variance of a given sampling distribution with formulas and calculations.

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Solution:

Population standard deviation=square root of population variance=sqrt(5)= 2.2361

Since Population is normally distributed,

Mean of ...

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
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