Question

Marxe School of Public and International Affairs (SPIA) wants to find out about the careers of its MPA graduates. The dean mails questionnaires to 500 randomly selected Alumni. Analysis of the sample of 500 alumni shows that the average income is $65,000. The average age is 35 years. The proportion working in non-profit is 76%.

Deduce the following information:

1)(1 Points)The population refers to:

2)(1 Points)The sample refers to:

3)(3 Points)The threevariables are (Hint: remember that the variables are the questions or the respondents’ attributes being asked in the questionnaires, such as age):

4)(3 Points)The three sample statistics refer to:

(Note: Do not only give the numbers. Provide descriptions of what the numbers refer to. To give an example that is not in this question - A sample statistic could be the average number of hours worked per week by the sampled workers which is 38.5 hours per week.)

5)(3 Points)The three population parameters refer to:

Answer 1

1) The population refers to: all its alumni who graduated from MPA program at SPIA

2) The sample refers to: the 500 alumni randomly selected for the study

3) The variables are (attributes asked in the questionnaire): Avg income of the alumni, Average age of the alumni, and Working in Profit/Non-Profit (binary attribute)

4) The three sample statistics refer to:

i) Avg of the income of the alumni =$65000, which refers to the mean of the salaries of the alumni surveyed in the sample

ii) Avg of the age of the alumni = 35 years, which refers to the mean of all the alumni in the sample

iii) Proportion of the alumni working in non-profit = 76%, which gives the fraction of alumni in the sample working in a non-profit organization

5) The Three population parameters refer to: Average age of all MPA graduates, Average salary earned by an MPA graduate, and Work-nature of the MPA graduates (profit/non-profit)