3. An AP coordinator in an urban school district mandates that AP students take a practice exam, called a Mock Exam, in the spring to help identify student potential scores on the upcoming exam in May. A random sample of AP students' Mock Exams was taken and the scores recorded. The results for 28 of the students were found to be: 58, 97, 64, 57, 76, 66, 71, 75, 74, 95, 60, 74, 80, 77, 68, 52, 88, 63, 70, 71, 74, 83, 63, 81, 65, 73, 71, 82 (a) Construct a 90% confidence interval for the mean score on the AP Mock Exams given in this district​

Since this is means data and we do not know the populations standard deviation, a t-interval

needs to be used. The justification is found in checking the conditions needed for a t-interval. The

problem stated it was a random sample so we will assume this is sufficient. Since the sample size is

slightly under 30, we will still check for the data being roughly normal. Either a boxplot or normal

probability plot would suffice. In both cases there is no reason to doubt the sample data are roughly

normally distributed so we can proceed to the calculations.

The interval would be (69, 76)

Explanation:

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