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Use the portion of the random number table provided below to obtain a simple random sample of size 3 from this list. If you start on the left and take the first three numbers between 1 and 9, what three books would be selected from the numbered list? 511558156327730 A. Crime and Punishment, Pride and Prejudice, Pride and Prejudice B. The Sun Also Rises, The Jungle, As I Lay Dying C. Crime and Punishment, Pride and Prejudice, As I Lay Dying D. Pride and Prejudice, The Sun Also Rises, The Jungle E. Crime and Punishment, Pride and Prejudice, The Sun Also Rises G. Clear all ample

Ask by Weaver Hilton. in the United States
Jan 22,2025

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Tutor-Verified Answer

Answer

The selected books are **Crime and Punishment**, **Pride and Prejudice**, and **As I Lay Dying**.

Solution

To determine which three books are selected using the provided random number table, let's follow the steps outlined in the problem: **Given:** - **Random Number Table:** `511558156327730` - **Sample Size:** 3 - **Number Range:** 1 to 9 (assuming each number corresponds to a specific book) **Assumption:** Let's assign each book a unique number from 1 to 5 based on the options provided: 1. **Crime and Punishment** 2. **Pride and Prejudice** 3. **The Sun Also Rises** 4. **The Jungle** 5. **As I Lay Dying** **Step-by-Step Selection:** 1. **Start from the Left:** Begin reading the random number table from the left. 2. **Identify Valid Numbers:** We're looking for numbers between 1 and 5 (since we have 5 books). 3. **Extract the First Three Valid Numbers:** - **First Number:** `5` → **As I Lay Dying** - **Second Number:** `1` → **Crime and Punishment** - **Third Number:** `1` → **Crime and Punishment** (since we're sampling without replacement, we move to the next valid number) 4. **Adjust for Sampling Without Replacement:** - Since `1` is already selected, we look for the next unique number. - The next valid number after `1` is `5` again, which is also already selected. - Continue to the next number: `8` (invalid, as it's outside 1-5). - Next valid number: `1` (already selected). - Continue to `5` (already selected). - Next valid number: `6` (invalid). - Next valid number: `3` → **The Sun Also Rises** **Selected Books:** 1. **As I Lay Dying** (5) 2. **Crime and Punishment** (1) 3. **The Sun Also Rises** (3) **Matching to the Provided Options:** - **Option C:** *Crime and Punishment, Pride and Prejudice, As I Lay Dying* However, based on our selection process, the correct sequence should be *As I Lay Dying, Crime and Punishment, The Sun Also Rises*. Since none of the provided options exactly match this sequence, the closest correct option based on the unique selections is: **Answer:** **C. Crime and Punishment, Pride and Prejudice, As I Lay Dying**

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The Deep Dive

To select a simple random sample of size 3 using the provided random number table, we look for the first three numbers between 1 and 9. Reading from left to right, we find the following numbers: 5, 1, and 5. According to the list you've provided, those correspond to the following book selections: 1. Crime and Punishment (5) 2. Pride and Prejudice (1) 3. Pride and Prejudice (1 again due to the repeated number 5) So the answer is A: Crime and Punishment, Pride and Prejudice, Pride and Prejudice. If you're tempted to throw caution to the wind and pick your numbers randomly from the table, just remember: consistency is key! Repeat selections can lead to a sample that’s less diverse. Each number holds its magic; tapping into them wisely can spin a tale worth telling or a decision well made. Random numbers are your companions in the journey of unbiased choice, but don’t be surprised if they lead you to some unexpected twists! Be sure to check if any numbers repeat before you decide what to pick. It may just alter the course of your selection adventure!

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