Business Statistics Week 2

Question 1

1.Baseball stadiums vary in age, style, size, and in many other ways. Fans might think of the size of the stadium in terms of the number of seats; while the player might measure the size of the stadium by the distance from the homeplate to the centerfield fence. Note: CF = distance from homeplate to centerfield fence.

Using the Excell add-in construct your scatter diagram with the data set provide below.
 

Seats

 

CF

38805

 

420

41118

 

400

56000

 

400

45030

 

400

34077

 

400

40793

 

400

56144

 

408

50516

 

400

40615

 

400

48190

 

406

36331

 

434

43405

 

405

48911

 

400

50449

 

415

50091

 

400

43772

 

404

49033

 

407

47447

 

405

40120

 

422

41503

 

404

40950

 

435

38496

 

400

41900

 

400

42271

 

404

43647

 

401

42600

 

396

46200

 

400

41222

 

403

52355

 

408

45000

 

408

 

Is there a relationship between these two measurements for the “size” of the 30 Major League Baseball stadiums?

a. Before you run your scatter diagram answer the following: What do you think you will find? Bigger fields have more seats? Smaller fields have more seats? No relationship exists between field size and number of seats? A strong relationship exists between field size and number of seats? Explain.

 

b. Construct a scatter diagram and include it in your answer.

 

c. Describe what the scatter diagram tells you, including a reaction to your answer in (a).

 

 

Question 2

 

 

2. Place a pair of dice in a cup, shake and dump them out. Observe the sum of dots. Record 2, 3, 4, _ , 12. Repeat the process 25 times. Using your results, find the relative frequency for each of the values: 2, 3, 4, 5, _ , 12.