Math Problem Statement
A class has 50 students. Use the
secondsecond
row of digits in the random number table below to select a simple random sample of three students. If the students are numbered 01 to 50, what are the numbers of the three students selected?
Line/Column
(1)
(2)
(3)
(4)
1
0196701967
2556025560
4821448214
9652696526
2
8909089090
9001490014
6656766567
1391513915
3
4482044820
2456724567
3764537645
1965219652
Question content area bottom
Part 1
What are the numbers of the three students selected?
enter your response here
(Use a comma to separate answers as needed.)
Solution
To select a simple random sample of three students using the second row of digits from the random number table, we will follow these steps:
- The students are numbered from 01 to 50.
- We will group the digits from the second row of the table into pairs to match the two-digit student numbers.
- We'll skip any numbers that fall outside the 01 to 50 range or if a number is repeated.
Let's extract the digits from the second row:
- 8909089090
- 9001490014
- 6656766567
- 1391513915
The pairs of digits are: 89, 09, 08, 90, 90, 01, 49, 00, 14, 90, 01, 49, 00, 14, 66, 56, 76, 65, 67, 13, 91, 51, 39, 15.
Now, let's identify the first three valid student numbers:
- 09 (valid, between 01 and 50)
- 01 (valid, between 01 and 50)
- 49 (valid, between 01 and 50)
So, the numbers of the three students selected are 09, 01, and 49.
Would you like more details or have any questions?
Related Questions:
- What would be the result if we used the first row of digits instead?
- How would the process change if there were 100 students?
- What is the significance of skipping numbers like 89 and 90?
- How do we handle repeated numbers when selecting a sample?
- Can this method be applied to select more than three students? How?
- How does the sample size affect the randomness of the selection?
- What is the probability of selecting a specific student using this method?
- How does this sampling method ensure fairness?
Tip: When dealing with large samples, using a random number generator can be more efficient than a table of random digits.
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Math Problem Analysis
Mathematical Concepts
Probability
Simple Random Sampling
Random Number Table
Formulas
-
Theorems
-
Suitable Grade Level
Grades 9-12
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