Respuesta :
Answer:
0.97
Step-by-step explanation:
17.53-13.67=3.86
3.86/4=0.965=0.97
For a confidence interval of (13.67, 17.53), the margin of error would be 1.93.
What is the Margin of Error?
- It is defined as the range of values beneath and above the sample statistic in a confidence interval.
- The margin of error can be used for calculating accuracy of the results we produced.
- The margin of error is known as the half of the width of the complete confidence interval.
Confidence Interval
- Confidence interval is used to approximately find the value of a population parameter through a certain level of confidence.
- Each confidence interval comprises of a lower bound and an upper bound.
- Confidence Interval = (lower bound, upper bound)
Now, we have been given the confidence interval of (13.67, 17.53), hence the width of this confidence interval can be found as:
Width of confidence interval = 17.53 - 13.67
Width of confidence interval = 3.86
Since, we know the margin of error is the half of the width of an entire confidence interval, hence we can write:
Margin of Error = 1/2 × (Width of confidence interval)
Margin of Error = 1/2 × (3.86)
Margin of Error = 1.93
Therefore, the margin of error for a given confidence interval is 1.93.
Hence second option i.e. 1.93 is correct.
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