Math Problem Statement
What is the margin of error for the confidence interval [ 14.70 , 19.20]?
A) 4.0 B) 2.25 C) 5.5 D) 3.65
Solution
The margin of error (ME) for a confidence interval is calculated as half the width of the interval. The confidence interval given is .
To find the margin of error, use the formula:
Substitute the given values:
So, the margin of error is 2.25.
Thus, the correct answer is B) 2.25.
Would you like further explanation or have any questions?
Related questions:
- How do you calculate a confidence interval for a sample mean?
- What is the relationship between the margin of error and the sample size?
- How does the confidence level affect the margin of error?
- Can you calculate the margin of error for a confidence interval when only the sample mean and standard deviation are given?
- What is the effect of increasing the sample size on the margin of error?
Tip:
When calculating the margin of error, always check the interval bounds carefully to ensure the subtraction is accurate.
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Math Problem Analysis
Mathematical Concepts
Statistics
Confidence Intervals
Margin of Error
Formulas
Margin of Error = (Upper Bound - Lower Bound) / 2
Theorems
Margin of Error calculation for confidence intervals
Suitable Grade Level
Grades 9-11
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