Statistics
Activity:
Means With Confidence
Posted on Feb 25, 2010
Topic: Confidence Intervals
Students estimate the true mean of a population when the standard deviation is known by finding the sample mean, margin of error and confidence interval.
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Activity Key Steps:
Students work through self-check questions to review the standard normal curve and the percentiles.
The Central Limit Theorem is also reviewed and built on to enable students to construct confidence intervals when trying to estimate the mean of the population.
Students will estimate the true mean of the longest reception for all American Football League receivers, given the standard deviation of the population.
The teacher will lead them through each step, calculating the sample mean, z-score, margin of error, and the confidence interval. Students will interpret the confidence interval and confirm their answer with the z Interval command.
Students are given homework problems that ask them to find different confidence intervals using the sample data.
The complete data for the AFC receivers is also given in the next problem so that students can check the validity of the intervals by finding the true means of the population.