Analysis of a random sample of 250 Nova Scotia nurses produced a 95% confidence interval for the mean annual salary of $$\$ 42,807

Question

Analysis of a random sample of 250 Nova Scotia nurses produced a 95% confidence interval for the mean annual salary of $$\$ 42,807 < \mu \text { (Nurse Salary) } < \$ 49,699 \text {. }$$

Quizplus · Accepted Answer

A confidence interval is a range of values that is likely to contain the true population parameter with a certain level of confidence. In this case, we are given a 95% confidence interval for the mean annual salary of Nova Scotia nurses based on a random sample of 250 nurses. Option D correctly states that we can be 95% confident that the true mean salary of all Nova Scotia nurses falls somewhere between $42,807 and $49,699, which is the interval obtained from the sample data. Option A and C only refer to the sample data and do not make any statement about the population parameter. Option B refers to the average nurse salary in Canada, which is outside the scope of the given sample. Option E is incorrect because the confidence interval is based on a single sample, and we cannot make a statement about the intervals from other samples.

Analysis of a Random Sample of 250 Nova Scotia Nurses $42,807<μ (Nurse Salary) <$49,699. \$ 42,807 < \mu \text { (Nurse Salary) } < \$ 49,699 \text {. }$42,807<μ (Nurse Salary) <$49,699.

Analysis of a Random Sample of 250 Nova Scotia Nurses $\$ 42,807 < \mu \text { (Nurse Salary) } < \$ 49,699 \text {. }$