A data set represent the total coursework of a group of six engineering students. Student si S2 S3 S4 S5 S6 Scores 132 201 112 134 155 120 (a) Find the population mean. (b) List all possible samples with size n=3. (c) Construct a sampling distribution for the mean in part (b). (d) Compute the probability that the sample mean is within 15 marks (score) of the population mean score.

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