SHOW STEPS IN EXCEL FILE FOR ALL WORK

A payoff (profit) table is given as

State of Nature

Decision s1 s2 s3

d1 10 8 6

d2 14 15 2

d3 7 8 9

a. What decision should be made by the optimistic decision maker?

b. What decision should be made by the conservative decision maker?

c. What decision should be made under minimax regret? Show the regret table.

d. If the probabilities of s1, s2, and s3 are .2, .3, and .5, respectively, then what decision should be made under expected value. SHOW STEPS IN EXCEL FILE FOR ALL WORK

Introduction to Statistics – MATO 205

Homework 1: Chapters 1 & 2

Name ______________________________________________              Date _______________

Fill in the space.

• The science of collecting, organizing, presenting, analyzing, and interpreting data to assist in making more effective decisions is referred to as ________________________________ .
• _______________    _________________ uses descriptive statistics to estimate population parameters.
• The entire set of individuals or objects of interest or the measurements obtained from all individuals or objects of interest is known as a _____________________________ .
• The _______________ level of measurement is a quantitative data that can be ordered, differences between data entries are meaningful, and the zero point indicates the absence of something.
• In a ____________  _______ experiment , neither the subjects nor the people interacting with the subjects know to which group each subject belongs.
• The value that lies halfway between the upper limit of one class and the lower limit of the next class is called ___________   ___________________ .
• A graph in which the classes for qualitative data are reported on the horizontal axis and the class frequencies (proportional to the heights of the bars) on the vertical axis is called a ______   __________ .
• A graph that displays the cumulative frequency of each class of quantitative data by using straight lines to connect points plotted above the upper class boundaries is called _______________ .
• The distance between lower and upper class limits is called the _________  __________ 
• In a ____________    _______________ distribution, the class frequencies are divided by the sample size.

Free Response Question: Show all your work to earn full credit.

• The following data represent the numbers of curl-ups completed in 60 seconds for a group of 16 eight-year-old boys. 
• The frequency distribution shows the ages of students volunteering at a local animal shelter.

31     34     41     36     27     29     18     33  

31     28     34     22     26     28     36     42 

Use the data above to complete the frequency table below:

Class

Frequency, 

Class Boundaries

Midpoint

Relative Frequency

Cumulative Frequency

15 – 19

1

14.5 -19.5

17

6%

1

20 – 24

25 – 29

30 – 34

35 – 39

40 – 44

Total

16

Ages of Student Volunteers (in Years)

Class

Frequency

10-12

5

13-15

9

16-18

2

19-21

11

22-24

6

• What is the relative frequency for the 4th class?
• What is the cumulative frequency for ages 18 and under?
• What percentage of the student volunteers were between the ages of 19 and 24?
• How many students were surveyed?
• e.What is the upper class boundary for the 2nd class?   

Review the following information on balance sheet analysis and business calculations:

Balance Sheet Analysis

Calculating Debt Ratio in Excel

Calculating Working Capital

Review the following balance sheet:

Best Care Health Maintenance Organization (HMO)
Balance Sheet
June 30, 2011 (in thousands)
Assets
Current assets: Cash Net premiums receivable Supplies
	$2,737
	$821
	$387
Total current assets	$3,945	$3,945
Net property and equipment		$5,924
Total assets		$9,869
Liabilities and Net Assets
Accounts payable—medical services	$2,145
Accrued expenses	$929
Notes payable	$382
Total current liabilities	$3,456	$3,456
Long-term debt		$4,295
Total liabilities		$7,751	$7,751
Total assets			$9,869
Net assets-unrestricted (equity)			$2,118
Total liabilities and net assets			$9,869

Answer the following questions after your analysis:

• What is Best Care’s net working capital for 2011? Show your work.
• What is Best Care’s debt ratio? Show your work.

Goal Setting and GPA

Cetin (2015) was interested in individual differences in goal setting behavior and performance in college students. To investigate the hypothesized association between the two variables, Cetin collected goal setting and grade point average (GPA) data from 166 college students. Goal setting was measured with a subscale from the Academic Self-Regulated Learning Scale. Students’ GPA was measured via self-report. The goal_setting_gpa.csv data set simulates some of the data so that it corresponds to the results in the original study. We can use it to (a) the null hypothesis that there is no association between self-reported goal setting behavior and self-reported academic performance, and (b) construct a regression equation for predicting GPA from goal setting behavior.

Cetin, B. (2015). Academic motivation and self-regulated learning in predicting academic achievement in college. Journal of International Education Research, 11(2), 95-106.

(1) Download goal_setting_gpa.csv and open it in Jamovi.

(2) Make sure the measure type and data type of the variables are correct.

(3) From the Regression menu select Correlation Matrix.

(4) In the Analysis panel, move gpa into the Variables box first and then goal_setting. We do it in this order because gpa is the variable we want to predict, which means that on a scatterplot, it should appear on the Y axis.

(5) From the Correlation Coefficients menu select Pearson.

(6) From the Hypothesis menu select Correlated.This specifies the alternative hypothesis, that the two varoables are correlated.

(7) From the Additional Options menu select Report significance and N.

(8) From the Plot menu select Correlation Matrix.

(9) While still in the Analysis panel, from the Regression menu at the top, select Linear Regression.

(10) Move gpa to the Dependent Variable box and move goal-setting to the Covariates box.

(11) From the Model Fit menu select R, R², and RMSE (which is the same thing as standard error of estimate).

(12) Save the Jamovi file as Ch14_YourLastName.omv and use it to answer the questions on the worksheet.

Instructions for submitting this assignment.

(1) Locate Ch14_YourLastName.omv, and Ch14 Homework.docx where you saved them on your computer.

(2) Click the title of this assignment (Ch14 Homework) to open the Upload Assignment page.

(3) In the ASSIGNMENT SUBMISSION section, attach Ch14_YourLastName.omv and the Ch14 Homework file. Click Submit.

(4) If you submit this assignment early enough, I might have time to provide feedback that you can use to improve it and possibly improve your grade. So soon after you submit it, return to this assignment to see if I’ve given you any feedback. Click the assignment title and on the Review Submission History page you’ll see the details of your prior submissions. To revise a prior submission, click Start New, download and revise, be sure to save it, and upload it as previously.