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? a. 0.95 b. 0.36 c. 3.25 d. 0.18

Explanation:

Step1: Recall margin - of - error formula

The margin of error $E$ for a confidence interval $(a,b)$ is given by $E=\frac{b - a}{2}$.

Step2: Identify $a$ and $b$ values

Here, $a = 3.07$ and $b=3.43$.

Step3: Calculate margin of error

$E=\frac{3.43 - 3.07}{2}=\frac{0.36}{2}=0.18$

Answer:

D. 0.18