A random sample of 35 students taking statistics at a commun

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.)

Solution

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]