# Please save my life.. Please……. Question 3: (14 points) In order to better understand the touris

Question 3: (14 points)

In order to better understand the tourism industry, a survey was conducted by Téoros, a journal of tourism research that aims to contribute to the development and the enhancement of the scientific study of tourism from a multidisciplinary perspective.

Respondents chosen randomly were asked to provide the amount of personal spending during their most recent holiday. The data presented is divided into two income groups, respondents earning \$39,999 or less and respondent earning \$40,000 or more. Please refer to the Excel spreadsheet containing the data and answer the following questions:

a) Determine the average personal spending and standard deviation for each income category.

b) In each income category, 50% of respondents have personal spending lower than what value?

c) Determine the coefficient of variation for each category of income. In which category is the data more dispersed?

d) Determine the range that includes 50% of data around the center of the data for each income category.

e) Draw an histogram and a Box and Whisker plot for each category. What conclusion can be drawn from these diagrams?

f) Upon the release of the survey results, two respondents are having a debate. They both claim that they are a larger spender in comparison to the data. The first respondent makes less than \$39,999 a year and spent \$447 during his last holiday. The second respondent has a yearly salary above \$40,000 and argues that since he spent one third more than the first respondent on his last holiday, he is the larger spender. Which respondent is correct?

g) How much would a respondent with a salary greater than \$40,000 a year have to spend to have a z-score of 3?

Revenu category:

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Data

1

395

2

356

3

393

4

442

5

395

6

389

7

327

8

431

9

383

10

411

11

401

12

417

13

353

14

407

15

419

16

386

17

385

18

369

19

397

20

415

21

370

22

443

23

412

24

382

25

426

26

367

27

402

28

380

29

416

30

433

31

320

32

428

33

447

34

402

35

397

36

407

37

303

38

360

39

360

40

344

41

412

42

369

43

445

44

371

45

344

46

384

47

426

48

382

49

405

50

432

51

373

52

447

53

339

54

408

55

388

56

376

57

362

58

383

59

420

60

364

61

353

62

415

63

457

64

390

65

412