ECO101, which was a summer half course, recently had their final exam. The instructional team conducted a benchmarking session using a random sample of 15 students. The average test score in the sample was 66.5 points out of 125, with a standard deviation of 9.36 points. The course instructor would like to know if the class average for the summer session is lower than the class average for the winter 2020 session, which was 71 points out of 125. How strong is the evidence that the class average for the summer session is lower than the class average for the winter session? Answer with null and research hypotheses in formal notation, a quantitative analysis, an approximate p-value, and 1 - 2 sentences interpreting your finding. Note: Do not use a computer to get the p-value. Use the appropriate table provided in the aid sheets.
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