Answer :
To determine the margin of error given an 80% confidence interval of (150, 170), we follow these steps:
1. Identify the lower bound and the upper bound of the confidence interval. In this case:
- Lower bound: 150
- Upper bound: 170
2. Calculate the width of the confidence interval by subtracting the lower bound from the upper bound:
[tex]\( \text{Width of the interval} = 170 - 150 = 20 \)[/tex]
3. The margin of error is defined as half of the width of the confidence interval. So, we divide the width by 2:
[tex]\( \text{Margin of Error} = \frac{\text{Width of the interval}}{2} = \frac{20}{2} = 10 \)[/tex]
The margin of error is thus 10.
The correct answer is:
B. 10
1. Identify the lower bound and the upper bound of the confidence interval. In this case:
- Lower bound: 150
- Upper bound: 170
2. Calculate the width of the confidence interval by subtracting the lower bound from the upper bound:
[tex]\( \text{Width of the interval} = 170 - 150 = 20 \)[/tex]
3. The margin of error is defined as half of the width of the confidence interval. So, we divide the width by 2:
[tex]\( \text{Margin of Error} = \frac{\text{Width of the interval}}{2} = \frac{20}{2} = 10 \)[/tex]
The margin of error is thus 10.
The correct answer is:
B. 10
