A random sample of 30 students taking statistics at a community college found the student’s mean GPA to be 3.25. A 95% confidence interval for the mean GPA of all students taking statistics at this college was determined to be (3.07, 3.43). What is the margin of error for this confidence interval? 3.25 0.18 0.36 0.95
Question
A random sample of 30 students taking statistics at a community college found the student’s mean GPA to be 3.25. A 95% confidence interval for the mean GPA of all students taking statistics at this college was determined to be (3.07, 3.43). What is the margin of error for this confidence interval? 3.25 0.18 0.36 0.95
Solution
The margin of error for a confidence interval is calculated by subtracting the lower limit of the interval from the upper limit, and then dividing by 2.
In this case, the upper limit of the confidence interval is 3.43 and the lower limit is 3.07.
So, the calculation would be as follows
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