Question

unit 3: collecting data
hw 2 - sampling methods
directions: use the table of random digits as indicated.

1. starting with jon jay (0), kris bryant (1), and continued, label each player in the table below.

use line 136 to determine which 6 players will be part of an experiment during batting practice of game 5. write the last name of the players in the order chosen:
08421 44753 77377 28744 75592 08563 79140 92454
53645 66812 61421 47836 12609 15373 98481 14592
66831 68908

1. assign each math teacher a number, starting with mrs. anderson (0) and moving to the right.

use line 173 to determine which 4 math teachers will participate in a well - known mathematics professional development workshop over the summer. write the last name of the teachers in the order chosen:
81636 57578
b) lets assume the administrators are the ones choosing teachers for the workshop. why may they want to do this randomly? and why not just include all of the math teachers?

Explanation:

Step1: For baseball - player selection

We start reading the digits from Line 136. We consider two - digit numbers in the range 00 - 17 (since we have 18 players numbered 0 - 17). Skip numbers outside this range and repeated numbers.
We get the following sequence of valid two - digit numbers: 08, 14, 02, 12, 04, 05.
The players corresponding to these numbers are: Trea Turner, Michael Taylor, Anthony Rizzo, Anthony Rendon, Albert Almora, Addison Russell.

Step2: For teacher - selection

We start reading the digits from Line 173. We consider one - digit numbers in the range 0 - 9 (since we have 10 teachers numbered 0 - 9). Skip numbers outside this range and repeated numbers.
We get the following sequence of valid one - digit numbers: 8, 1, 6, 3.
The teachers corresponding to these numbers are: Mr. Taylor, Mr. Brown, Mrs. Garcia, Miss Clark.

Step3: For the reason of random selection

Random selection helps in getting a representative sample. If administrators choose randomly, it reduces bias. Not including all teachers may be due to limited resources (like space, budget for the workshop), or to test the effectiveness of the workshop on a sample first.

Answer:

1. Trea Turner, Michael Taylor, Anthony Rizzo, Anthony Rendon, Albert Almora, Addison Russell
2. Mr. Taylor, Mr. Brown, Mrs. Garcia, Miss Clark

b) Random selection reduces bias and gives a representative sample. Not including all teachers may be due to limited resources or to test the workshop's effectiveness on a sample first.