Question

A researcher has run an experiment and has properly calculated a confidence interval for a population mean parameter µ. Her 95% confidence interval is (0.351, 0.412). What is the probability that the true, unknown parameter µ is in her 95% confidence interval?

Select one:

a. 5%

b. 95%

c. Either 0% or 100%, but we don’t know which.

d. This isn’t appropriate because confidence intervals are for sample statistics, not parameters.

e. This isn’t appropriate because confidence intervals are for population proportions, not population means.

Answer 1

Solution:

Answer of given question is 95%

Option b is correct.

The meaning of 95% confidence interval : 95% confidence interval means that there is 95% probability that the true population parameter will lie in the interval we constructed using 95% confidence level.

If we draw several samples of size n and we constructed the 95% confidence intervals using these samples , then 95% of these intervals will contain the true population parameter.