Statistics Question

Anonymous
timer Asked: Jan 25th, 2019

Question description

Prenumbered sales invoices are kept in a sales journal. The invoices are numbered from 0001 to 5000.to5000.

a. Beginning in row​ 28, column

1010​,

and proceeding horizontally in the given random number​ table, select a simple random sample of 10 invoice numbers.

b. Select a systematic sample of 10 invoice numbers. Use the random numbers in row​ 30, columns

2727dash2929​,

as the starting point for your selection.

c. Are the invoices selected in​ (a) the same as those selected in​ (b)? Why or why​ not?

Column

Row

00000

00001

11111

11112

22222

22223

33333

33334

12345

67890

12345

67890

12345

67890

12345

67890

28

06873

21440

75593

41373

49502

17972

82578

16364

29

12478

37622

99659

31065

83613

69889

58869

29571

30

57175

55564

65411

42547

70457

03426

72937

83792

31

91616

11075

80103

07831

59309

13276

26710

73000

32

78025

73539

14621

39044

47450

03197

12787

47709

a. Complete the list of the 10 invoice numbers that will be selected for the simple random sample below.

nothing​,

nothing​,

nothing​,

nothing​,

nothing​,

nothing​,

nothing​,

nothing​,

nothing​,

nothing

​(List the terms in the same order as they appear in the original​ list.)

b. Complete the list of the 10 invoice numbers that will be selected for the systematic sample below.

nothing​,

nothing​,

nothing​,

nothing​,

nothing​,

nothing​,

nothing​,

nothing​,

nothing​,

nothing

​(Use ascending​ order.)

c. Are the invoices selected in​ (a) the same as those selected in​ (b)? Why or why​ not?

​No, the invoices selected are not the same because it would be highly unlikely that a random process would select the same units as a systematic process.

​No, the invoices selected are not the same because the population size is very large.

​No, the invoices selected are not the same because a simple random sample and a systematic sample can never be the same.

​Yes, many of the same invoices were selected because any two probability samples will yield similar results.


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