Question: Reply as a student Last week, our class rolled a six-sided die 9 times each and calculated sample means. Out of 53 students, 49 had
Reply as a student "Last week, our class rolled a six-sided die 9 times each and calculated sample means. Out of 53 students, 49 had sample means between 2.5 and 4.5, giving us a random sample result of 92.4%. Using the Central Limit Theorem for a sample size of n = 9, we know the population mean is 3.5 and the standard error is about 0.57. Converting 2.5 and 4.5 to z-scores gives us a range of -1.75 to 1.75. The probability of a sample mean falling in that range is about 92%. This means our population result and random sample result are very close, showing that the sample data collected in class closely follows what we'd expect based on theory
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