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A random sample of 250 students at a university finds that these students take a

ID: 3218799 • Letter: A

Question

A random sample of 250 students at a university finds that these students take a mean of 14.4 credit hours per quarter with a standard deviation of 2 credit hours. The 95% confidence interval for the mean is 14.4 0.248. Interpret the interval. A The probability that a student takes 14.152 to 14.648 credit hours in a quarter is 0.95 B. We are 95% confident that the average number of credit hours per quarter of students at the university false in the interval 14, 152 to 14.648 hours. C. We are 95% confident that the average number of credit hours per quarter of the sampled students false in the interval 14.152 to 14.648 hours. D. 95% of the students take between 14.152 to 14.648 credit hours per quarter.

Explanation / Answer

A confidence interval measures the probability that a population parameter will fall between two set of values.

We are using the sample to estimate the population mean and parameter values. Hence, we form a university-level confidence interval given by[sample mean +- z*standard deviation/sqrt(n) ]

Hence, the answer is B.

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