Question

A random sample is drawn from a population having σ = 15. a. If the sample...

A random sample is drawn from a population having σ = 15.

a. If the sample size is n = 30 and the sample mean x = 100, what is the 95% confidence interval estimate of the population mean µ?

b. If the sample size is n = 120 and the sample mean x = 100, what is the 95% confidence interval estimate of the population mean µ?

c. If the sample size is n = 480 and the sample mean x = 100, what is the 95% confidence interval estimate of the population mean µ?

Homework Answers

Answer #1

Here

population standard deviation is known

So, we can use the Z-tables

at 95% confidence

a) Here n = 30

The 95% confidence interval for mean is

  

b) Here n = 120

The 95% confidence interval for mean is

  

c) Here n = 480

The 95% confidence interval for mean is

  

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