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Medical Mutual Insurance is investigating the cost of a routine office visit to family-practice physicians in the Rochester, New York, area. The following is a list of family-practice physicians in the region. Physicians are to be randomly selected and contacted regarding their charges. The 39 physicians have been coded from 00 to 38. Also noted is whether they are in practice by themselves (S), have a partner (P), or are in a group practice (G).

Number Physician Type of Practice
0 R. E. Scherbarth, M.D. S
1 Crystal R. Goveia, M.D. P
2 Mark D. Hillard, M.D. P
3 Jeanine S. Huttner, M.D. P
4 Francis Aona, M.D. P
5 Janet Arrowsmith, M.D. P
6 David DeFrance, M.D. S
7 Judith Furlong, M.D. S
8 Leslie Jackson, M.D. G
9 Paul Langenkamp, M.D. S
10 Philip Lepkowski, M.D. S
11 Wendy Martin, M.D. S
12 Denny Mauricio, M.D. P
13 Hasmukh Parmar, M.D. P
14 Ricardo Pena, M.D. P
15 David Reames, M.D. P
16 Ronald Reynolds, M.D. G
17 Mark Steinmetz, M.D. G
18 Geza Torok, M.D. S
19 Mark Young, M.D. P
20 Gregory Yost, M.D. P
21 J. Christian Zona, M.D. P
22 Larry Johnson, M.D. P
23 Sanford Kimmel, M.D. P
24 Harry Mayhew, M.D. S
25 Leroy Rodgers, M.D. S
26 Thomas Tafelski, M.D. S
27 Mark Zilkoski, M.D. G
28 Ken Bertka, M.D. G
29 Mark DeMichiei, M.D. G
30 John Eggert, M.D. P
31 Jeanne Fiorito, M.D. P
32 Michael Fitzpatrick, M.D. P
33 Charles Holt, D.O. P
34 Richard Koby, M.D. P
35 John Meier, M.D. P
36 Douglas Smucker, M.D. S
37 David Weldy, M.D. P
38 Cheryl Zaborowski, M.D. P

a: The random numbers are: 31, 94, 43, 36, 03, 24, 17, and 09. Which physicians should be contacted?

b: Select a random sample of four physicians using the random numbers

c: A sample is to consist of every fifth physician. The number 04 is selected as the starting point. Which physicians will be contacted?

d: A sample is to consist of two physicians in solo practice (S), two in partnership (P), and one in group practice (G). Select a sample accordingly. Explain your procedure.

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