Question

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Question 1

What is the point estimate for a population mean? Provide examples.

Question 2

What are the confidence intervals for a population mean? Provide examples.

Question 3

A confidence interval for the population mean when the population follows the normal distribution and the population standard deviation is known is computed by? Provide examples.

Answer 1

A sample mean is a point estimate of the Population mean.

Consider a sample of n=14
and the sample means =4.8936, Population S.D. is given  

Step-1: Choose a confidence level
Step-2: Find the solution c of the equation

from the table of the normal distribution.
Here the value of c is 2.326
Step-3: Compute the value of k
  

The limit of the Confidence interval is