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Activity Overview

In this activity, students estimate statistical measures and find confidence intervals.

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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
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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
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After the Activity

Review student results:

As a class, discuss questions that appeared to be more challenging
Re-teach concepts as necessary