A random sample of 35 students taking statistics at a community college was aske

Question

A random sample of 35 students taking statistics at a community college was asked their GPA. The sample mean was 3.14: and the margin of error for a 95% confidence interval was 0.18. Complete parts a and b below. a. Choose the correct interpretation of the confidence interval below and fill in the answer boxes to complete your choice. Assume that the conditions for constructing a confidence interval are met. OA. We are 95% confident that the population mean GPA of statistics students at the school is between [] and []. 0B.We are 95% confident that the recorded sample mean GPA of statistics students at the school is between []and [] OC. We are 95% confident that the population mean GPA for all of the students in the school is between [] and[] (Type integers or decimals rounded to the nearest hundredth as needed. Use ascending order.)

Explanation / Answer

We are interested in the POPULATION MEAN of the GPA of STATISTICS STUDENTS, so we choose

[OPTION A, ANSWER].

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The confidence interval is between

(mean - E, mean + E)

= (3.14 - 0.18, 3.14 + 0.18)

= (2.96, 3.32) [ANSWER]

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