Answer :
To find the margin of error for the given 98% confidence interval (50, 60), we will go through the following steps:
1. Identify the lower and upper bounds of the interval:
- The lower bound is 50.
- The upper bound is 60.
2. Determine the range of the interval:
- The range is calculated by subtracting the lower bound from the upper bound:
[tex]\[ \text{Range} = 60 - 50 = 10 \][/tex]
3. Calculate the margin of error:
- The margin of error is half of the range of the interval:
[tex]\[ \text{Margin of Error} = \frac{\text{Range}}{2} = \frac{10}{2} = 5 \][/tex]
4. Choose the correct answer:
- Based on the calculated margin of error of 5, the correct answer is:
[tex]\[ \boxed{B} 5 \][/tex]
Hence, the margin of error for the given 98% confidence interval (50, 60) is 5.
1. Identify the lower and upper bounds of the interval:
- The lower bound is 50.
- The upper bound is 60.
2. Determine the range of the interval:
- The range is calculated by subtracting the lower bound from the upper bound:
[tex]\[ \text{Range} = 60 - 50 = 10 \][/tex]
3. Calculate the margin of error:
- The margin of error is half of the range of the interval:
[tex]\[ \text{Margin of Error} = \frac{\text{Range}}{2} = \frac{10}{2} = 5 \][/tex]
4. Choose the correct answer:
- Based on the calculated margin of error of 5, the correct answer is:
[tex]\[ \boxed{B} 5 \][/tex]
Hence, the margin of error for the given 98% confidence interval (50, 60) is 5.
