A simple random sample of size n is drawn from a population that is normally distributed....

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Statistics

A simple random sample of size n is drawn from apopulation that is normally distributed. The sample mean, x, isfound to be 50, and the sample standard deviation, s, is found tobe 8.
a) Describe the sampling distribution of the sample meanx.
b) Construct a 98% confidence interval for Î¼ if thesample size, n, is 20.
c) Construct a 98% confidence interval for Î¼ if thesample size, n, is 15. How does decreasing the sample size affectthe margin of error, E?
d) Construct a 95% confidence interval for Î¼ if thesample size, n, is 20. How does decreasing the level of confidenceaffect the margin of error, E?
e)If the population had not been normally distributedcould we have computed the confidence intervals in parts (b) â€“(d)?

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aGivenPopulation mean 50Sampling distributon of Sample Mean Sample size n 20Standard deviation s 8Confidence intervalin 98bRequired confidence interval 50045428 See Answer

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