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Parameter: A number describing a characteristic of the population (usually unknown) Statistic: A number describing a characteristic of a sample. In Inferential Statistics we use the value of a sample statistic to estimate a parameter value. We want to estimate the mean height of MC students. What if we get another sample, will x-bar be the same? What does the x-bar distribution look like? How do we investigate the behavior of x-bar? Graph the x-bar distribution and find its mean and standard deviation Simulation Rolling a fair die and recording the outcome randInt(1,6) Press MATH Go to PRB Select 5: randInt(1,6) Rolling a die n times and finding the mean of the outcomes. Mean(randInt(1,6,10) Press 2nd STAT Right to MATH Select 3:mean Press MATH Right to PRB 5:randInt( Rolling a die n times and finding the mean of the outcomes. The Central Limit Theorem in action Simulation Roll a die 5 times and record the number of ONES obtained: randInt(1,6,5) Press MATH Go to PRB Select 5: randInt(1,6,5) Roll a die 5 times, record the number of ONES obtained. Do the process n times and find the mean number of ONES obtained. The Central Limit Theorem in action The Central Limit Theorem in action Use website APPLETS to simulate proportion problems