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# NCC Statway Statistics Module 10

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Author: mary daunis

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Tutorial

## Nine Random Integers Between 1 and 400

Source: @itsallmine

## CLT Simulation for Means

Here is a link to a JAVA-run simulation for the Central Limit Theorem for Means. Due to JAVA issues, this simulation may not run on all web browsers. It should run with Firefox.

http://www.stat.tamu.edu/~west/ph/sampledist.html

Source: @itsallmine

## Using the CLT for Means Applet

Source: Carnegie Foundation Statway Initiative

## Construct a Confidence Interval

Use the TI graphing calculator to construct a confidence interval with the Student T-distribution.

Source: @itsallmine

## Two Sample Confidence Interval with Student T Distribution

Source: @itsallmine

## Two Sample T Test with Student T Distribution

Source: @itsallmine

## Confidence Interval - Paired Data

Twenty-two students were randomly selected from a population of 1000 students. The sampling method was simple random sampling. All of the students were given a standardized English test and a standardized math test. Test results are summarized below. Find the 90% confidence interval for the mean difference between student scores on the math and English tests. Assume that the mean differences are approximately normally distributed.

Source: @itsallmine

## Logic of Statistical Inference

Tree diagram of TI functions to use for confidence intervals and hypothesis tests for means when population standard deviation is unknown.

Source: @itsallmine

## Choosing the Correct Distribution

For confidence intervals and hypothesis test, choose either a Z or a T distribution for the test statistics and critical values. This video outlines how to make the correct choice.

Source: @itsallmine