Activity Overview
In this activity, students estimate statistical measures and find confidence intervals.
Before the Activity
See the attached PDF file for detailed instructions for this activity
Print pages 73 - 88 from the attached PDF file for your class
During the Activity
Distribute the pages to the class.
Follow the Activity procedures:
Estimating the Mean of a Normal Population:
Determine the mean, confidence interval, and margin of error for a sample population with normal distribution
Find the critical z value, if the standard deviation (S.D.) is known, otherwise find the t value
Observe that the t value > z value
Estimating a Population Proportion:
Check whether the product of the success percent and the sample size is greater or equal to 10
Decide if the normal distribution can be used to approximate a binomial
Estimating the Standard Deviation of a Normal Population:
Enter a random sample from a population
Determine the variance
Plot the Chi-Square distribution
Check the graph for symmetry
Find the critical values
Calculate the confidence intervals
Estimating the Difference in Two Population Means:
Enter random sample data sets as lists
Determine the T interval if the standard deviations are unknown, else determine the Z interval
Calculate the degrees of freedom, critical t or z values, margin of error, and confidence interval
Find the mean of differences and the S.D. of differences
Estimating the Difference in Two Population Proportions:
Enter the data
Calculate the critical z value, and the margin of error
Record the percent range in which the difference in population proportions lies
Estimators:
Pick values from a normal distribution with a mean of 50, S.D. of 10, and variance of 100
Obtain an unbiased variance of these values
Generate a sequence of 100 sample variances
Calculate the mean
Plot a histogram
After the Activity
Review student results:
As a class, discuss questions that appeared to be more challenging
Re-teach concepts as necessary