Questions: I want to take a survey of students currently enrolled in my statistics course. There are 250 of them, so I number them from 001 to 250 in alphabetical order. If I use the portion of the given random number table to select the first five students to be interviewed, which five numbers will be selected? 174,095,148,064,239 174,095,148,174,064 690,416,581,787,174

I want to take a survey of students currently enrolled in my statistics course. There are 250 of them, so I number them from 001 to 250 in alphabetical order. If I use the portion of the given random number table to select the first five students to be interviewed, which five numbers will be selected? 174,095,148,064,239 174,095,148,174,064 690,416,581,787,174
Transcript text: want to take a survey of students currently enrolled in my statistics course. There are 250 of them, so I number them from 001 to 250 in alphabetical order. If I use the portion of the given random number table to select the first five students to be interviewed, which five numbers will be selected? $174,095,148,064,239$ $174,095,148,174,064$ $690,416,581,787,174$
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Solution

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Solution Steps

To select the first five students using the given random number table, we need to extract three-digit numbers from the table and match them to the student numbers ranging from 001 to 250. We will ignore any number greater than 250 and continue until we have selected five valid numbers.

Step 1: Understanding the Problem

We need to select the first five students to be interviewed using a random number table. The students are numbered from 001 to 250. We will use the given random number table to select these students.

Step 2: Analyzing the Random Number Table

The random number table provided is:

\[ \begin{array}{|c|c|c|c|c|c|c|c|c|} \hline 69041 & 65817 & 87174 & 09514 & 08174 & 06423 & 93758 & 23612 & 17894 \\ \hline \end{array} \]

We need to extract three-digit numbers from this table that fall within the range 001 to 250.

Step 3: Extracting Valid Numbers

We will extract three-digit numbers from the table and check if they fall within the range 001 to 250:

  1. 69041: Extract 690, 904, 041. Only 041 is valid.
  2. 65817: Extract 658, 581, 817. None are valid.
  3. 87174: Extract 871, 717, 174. Only 174 is valid.
  4. 09514: Extract 095, 951, 514. Only 095 is valid.
  5. 08174: Extract 081, 817, 174. Only 081 is valid.
  6. 06423: Extract 064, 642, 423. Only 064 is valid.
  7. 93758: Extract 937, 375, 758. None are valid.
  8. 23612: Extract 236, 361, 612. Only 236 is valid.
  9. 17894: Extract 178, 789, 894. Only 178 is valid.
Step 4: Selecting the First Five Valid Numbers

From the valid numbers extracted, we select the first five:

  • 041
  • 174
  • 095
  • 081
  • 064

Final Answer

The first five students to be interviewed, based on the random number table, are numbered:

\[ \boxed{041, 174, 095, 081, 064} \]

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