PART I. Textbook problems from Freedman, Pisani and Purves

 

Chapter 5: (required)

Exercise Set B #1,

Exercise Set C #2,

Exercise Set D #5,

Exercise Set E #3,

Review Exercises #3 and #6.

 

Chapter 5: (optional practice for the midterm)

Exercise Set A #1

Exercise Set B #3, #4

Exercise Set C #1

Exercise Set E # 1 and #2

Exercise Set F #1

 

(you may handwrite this part, pen or pencil, doesn't matter)

 

PART II. An Essay question from Professor Lew.

 

(THIS PART MUST BE TYPED)

 

Maximum Length: One page, two if you are wordy (don't spend > hour on this OK?)

Spacing: Single or Double space.

Guidance: This one is easy, but required.  If you do the textbook problems above and fail to do this one, your homework assignment grade is an automatic minus even if you got the other ones 100% correct. Be as creative or dull as you want to be.  Do not get upset by the word "essay" instead,

pretend you are writing an e-mail or chatting about what you have learned so far in Statistics 10.

 

Goal: To help you understand statistical concepts by having you apply them.

 

The Problem:  Congratulations, you have gotten a job as the negotiator for the bus drivers of a very small bus company.  The drivers are on strike and would like a 20% raise. The strike has going on for so long that the government has ordered a judge to make a decision based on your argument and the argument of the lawyer for the company's owners.  The owners of the company are offering a 0% raise arguing that that the average employee at the company earns $27 per hour and this is already higher than the current national average hourly wage of $16 per hour. Here is a breakdown of salaries at the small bus company (see the back):


                       

Job Title

Hourly Wage in Dollars

Jr. Bus Driver

10

Jr. Bus Driver

10

Jr. Bus Driver

10

Jr. Bus Driver

10

Jr. Bus Driver

10

Jr. Bus Driver

10

Jr. Bus Driver

10

Jr. Bus Driver

10

Jr. Bus Driver

10

Jr. Bus Driver

10

Sr. Bus Driver

20

Sr. Bus Driver

20

Sr. Bus Driver

20

Sr. Bus Driver

20

Sr. Bus Driver

20

Jr. Supervisor (does not drive buses)

40

Sr. Supervisor (does not drive buses)

50

Company Lawyer

75

The Owner's Wife

75

The Owner

100

 

As their negotiator, you need to present their argument to the judge on behalf of the bus drivers.  What statistics (e.g. mean, median, minimum, maximum, etc. etc.) might you in your argument to the judge for more money for the bus drivers?  

 

Hint: There may be unusual or extreme observations in this dataset.  If you think this is the case, feel free recalculate your statistics based on fewer observations or groups of observations.  Will this help your argument for more money?

 

Final Instructions and questions:

 

1.      Pretend I am the judge.  How would you convince me to give the workers a raise?  You must use the numbers I have given you and calculate statistics that might help your argument.

2.      You should use the $27 and $14 per hour figures given by the owners as a part of your argument.  Is the $27 figure accurate?  I will tell you that the $16 is the current national average and it is correct as far as the U.S. government is concerned.

3.      Is a 20% raise too much for the drivers?  To figure out what their new wage would be I would multiply the existing wage by 1.2 so if you made $10 per hour and got a 20% raise, you would now receive $12/hr.

 

WHEN YOU HAND THIS IN, STAPLE PART I and PART II TOGETHER.  PUT YOUR TA'S NAME AND/OR SECTION (1A, 1B, 1C) ON IT TOO.  IT IS DUE BEFORE THE END OF LECTURE ON OCTOBER 20, 2000.