A sample of 15 recent college graduates found that starting salaries for attorneys in New York City had a mean of $102,342 and a standard deviation of $21,756.What does mu represent?A.The average salary of all graduates in the sample, 102,342 dollars. B.The average salary of all recently graduated attorneys in New York City, 102,342 dollars. C.The average salary of all recently graduated attorneys in New York City, which is unknown. D.The average salary of all graduates in the sample, which is unknown.

Mu represent is the population mean. In this case the population are all starting salaries of all attorneys in New York City. The mean that is shown by the problem ($102,342) corresponds to the 15 observations sample; the sample mean is represented by an x-bar. X.bar is used to estimate a population parameter. If the sample is representative, then we can say x-bar is a good estimative for mu. But in this case, we do not know if a 15 observation sample represents all starting salaries of all attorneys in NYC. Then, the average salary of all recently graduated attorneys in New York City is unknown.

AFOKE88 AFOKE88 · Answer 2 · 2021-10-22T12:23:07+02:00

The symbol μ for the data given in the question represents the population mean and it is given by;

Option C; The average salary of all recently graduated attorneys in New York City, which is unknown

We are told given;

Sample; n = 15

Sample mean; x⁻ = $102342

Standard deviation; σ = $102342

Now, $102342 represents the sample mean because we are told that is the research gotten by only 15 of the students that carried out the research.

Now, the formula for test statistic is usually for z-score as;

z = (x⁻ - μ)/(σ/√n)

where μ is the population mean.

In this case, the population mean represents the average of all recently graduated attorneys and it is not known.

Thus, the correct answer is Option C.

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