In Ontario, public-sector employers are required to make public the salaries of all employees earning more than $100,000 per year (this is often referred to as the "sunshine list"). Say you have been tasked with estimating the average salaries of employees in a segment of the public- sector. For instance, say that all employees of Ontario universities is your target population. To start, from basic information provided by the universities, you know the size of your target population is employees. Next, you consult the sunshine list and find that of these employees are listed there, with those listed having an average salary of $ per year. Then you are able to collect information from a simple random sample of 100 of those university employees not on the sunshine list. The mean income in those sampled is $ per year, with a standard deviation of $7,000. Provide answers to the following to two decimal places.

(a) With the information at hand, give your estimate of the average income amongst all employees of Ontario universities.

(b) Give a 95% confidence interval to accompany your estimate.
(, )

(c) It might not be so easy to collect a simple random sample of those university employees not on the sunshine list. Thinking about the definition of a simple random sample, would it work to draw a simple random sample from all university employees and then simply discard the responses of those who report an income of 100,000 dollars or more?

A. Yes
B. No