Math Problem Statement
Solution
It seems you've uploaded an image that relates to a statistical question involving sampling from a group of physicians. Based on the text and table in the image, here is a breakdown of the questions:
Task Overview:
- Objective: Investigate the cost of routine office visits for family practice physicians in the Rochester, NY area.
- There are 39 physicians, labeled from 00 to 38, and they are either in solo practice (S), partner practice (P), or group practice (G).
- You need to contact physicians according to various sampling methods.
Questions:
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(a) Which physicians should be contacted from the random numbers provided?
- The random numbers are: 31, 94, 43, 36, 03, 24, 17.
- Since only physicians numbered from 00 to 38 are considered, ignore numbers outside this range (e.g., 94 and 43).
Physicians to contact based on valid random numbers:
- 31: Mark Bertko, M.D. (P)
- 36: Richard Molloy, M.D. (S)
- 03: Mark D. Hilliard, M.D. (P)
- 24: Stanford Kennedy, M.D. (S)
- 17: Randy Myers, M.D. (S)
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(b) Select a random sample of four physicians using a random number table (Appendix B.4 or similar).
- This question asks for a random sample of 4, which would be selected using a random number generator or table.
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(c) Use systematic random sampling:
- Every fifth physician will be selected, starting at a random number like 02.
- Selecting every fifth physician starting from 02: 02, 07, 12, 17, 22, 27, 32.
Physicians selected:
- 02: Crystal R. Gowie, M.D. (S)
- 07: Justin Fordham, M.D. (S)
- 12: Patrick Adams, M.D. (G)
- 17: Randy Myers, M.D. (S)
- 22: J. Christian Zona, M.D. (P)
- 27: Thomas Tafelski, M.D. (P)
- 32: Cheryl Zaborowski, M.D. (G)
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(d) Select a sample that includes three physicians in solo practice (S), two in partnership (P), and one in a group practice (G).
- You would need to select based on the listed practice types, ensuring the correct distribution.
Would you like to proceed with one of these tasks or clarify anything further?
5 Related Questions:
- How do you compute the systematic sampling interval?
- What are the advantages of systematic sampling over random sampling?
- Can systematic sampling introduce bias, and how can that be mitigated?
- How would you calculate the sample mean from the charges once data is collected?
- What is the importance of stratified sampling in healthcare studies like this?
Tip: Always ensure that random samples are chosen without any influence, as this helps to reduce bias in statistical studies.
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Math Problem Analysis
Mathematical Concepts
Random Sampling
Systematic Sampling
Stratified Sampling
Formulas
Systematic Sampling Interval = Population Size / Sample Size
Theorems
Law of Large Numbers
Central Limit Theorem
Suitable Grade Level
Undergraduate
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