A random sample of 250 students at a university finds that these students take a mean of 15.3 credit hours per quarter with a standard deviation of 1.6 credit hours. Estimate the mean credit hours taken by a student each quarter using a 95% confidence interval. Round to the nearest thousandth.

A) $15.3 \pm .198$
B) $15.3 \pm .010$
C) $15.3 \pm .013$
D) $15.3 \pm .157$

Question

A random sample of 250 students at a university finds that these students take a mean of 15.3 credit hours per quarter with a standard deviation of 1.6 credit hours. Estimate the mean credit hours taken by a student each quarter using a 95% confidence interval. Round to the nearest thousandth.

A) $15.3 \pm .198$
B) $15.3 \pm .010$
C) $15.3 \pm .013$
D) $15.3 \pm .157$

Quizplus · Accepted Answer

The 95% confidence interval is calculated using the formula: mean ± (Z * (standard deviation/√n)). Here, Z is 1.96 for 95% confidence, standard deviation is 1.6, and n is 250. This gives 15.3 ± 0.198.

A Random Sample of 250 Students at a University Finds 15.3±.19815.3 \pm .19815.3±.198

A Random Sample of 250 Students at a University Finds $15.3 \pm .198$