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Statistical Inference: Confidence Intervals

The students will construct 1-proportion confidence intervals. This lesson begins by having the students construct a confidence interval with the formula and then leads them through the steps needed to use the Nspire's statistical applications to construct confidence intervals. Students would do ...
https://education.ti.com/en/activity/detail/statistical-inference-confidence-intervals

Standard Error and Sampling Means

This lesson involves investigating the relationship between the standard deviation of a population, the area of a set of rectangles, and the standard deviation of the sampling distribution of sample mean areas of the rectangles.
https://education.ti.com/en/activity/detail/standard-error-and-sampling-means

Meaning of Power

In this lesson, samples are generated from a population for a particular hypothesis test, leading to the conjecture that the null hypothesis is actually false.
https://education.ti.com/en/activity/detail/meaning-of-power

Confidence Levels for Means

Students will interpret a confidence level as the average success rate of the process used to produce an interval intended to contain the true mean of the population. Students will recognize that as the confidence level increases, on average, the confidence interval increases in width.
https://education.ti.com/en/activity/detail/confidence-levels-for-means

Confidence Levels

Students will interpret a confidence level as the average success rate of the process used to produce an interval intended to contain the true mean of the population. They will recognize that as the confidence level increases, on average, the confidence interval increases in width.
https://education.ti.com/en/activity/detail/confidence-levels

Confidence Intervals for Proportions

This lesson involves the concept of confidence intervals as a tool to make statements about a population proportion based on a given sample.
https://education.ti.com/en/activity/detail/confidence-intervals-for-proportions_1

Conditional Probability

This lesson involves thinking about probability when additional information is given.
https://education.ti.com/en/activity/detail/conditional-probability

NASA - Space Shuttle Guidance, Navigation, and Control Data

In this activity, students will see how the position of the shuttle is deteremined and how the GNC officer ensures that the space shuttle arrives at its pre-determined destination as outlined by mission objectives.
https://education.ti.com/en/activity/detail/nasa--space-shuttle-guidance-navigation-and-control-data

Are They Truly Random?

Students will develop lists of random numbers generated by the TI-Nspire handheld. They will explore their set of numbers and engage in a discussion of whether the random number generator is truly generating numbers at random. In addition, students will look at statistical models of their num...
https://education.ti.com/en/activity/detail/are-they-truly-random

Areas In Intervals

Students use several methods to determine the probability of a given normally distributed value being in a given interval. First, they use the Integral tool to find areas under the curve and to the left of given values. Students continue the activity to find probabilities for which the correspond...
https://education.ti.com/en/activity/detail/areas-in-intervals

Box Plots Introduction

This lesson involves representing distributions of data using box plots. The emphasis is on helping students understand the relationship between individual data values and the five-number summary. Students will move data within a dot plot and observe the changes within the corresponding box plot...
https://education.ti.com/en/activity/detail/box-plots-introduction

The Classic Box Problem - Calculus

The Box_Problem_Calculus.tns document takes a classic problem from calculus and uses the dynamic linking capabilities of TI-Nspire to enact the problem in multiple representations: diagramatic, graphic, numeric, geometric, and symbolic. The problem is posed on the title screen shown at the right.
https://education.ti.com/en/activity/detail/the-classic-box-problem--calculus

Binomial Pdf- Eye Color

This lesson involves binomial trials, distributions, and probabilities. Students can create the tns file following the steps in Binomial_Pdf_Create_Eye_Color, or they can use the premade file Binomial_Pdf_Eye_Color.tns
https://education.ti.com/en/activity/detail/binomial-pdf-eye-color

Binomial Experiments

Students use the multiplication rule for independent events to find the probability of the first success in the nth trial. Students use their results to derive and test a general formula. Then, students expand on this foundation to derive and test a rule for the probability of x successes in n tr...
https://education.ti.com/en/activity/detail/binomial-experiments

Volume by Cross Sections

Students will be introduced to the concept of finding the volume of a solid formed by cross sections of a function that form certain shapes.
https://education.ti.com/en/activity/detail/volume-by-cross-sections_1

Investigating Correlation

This lesson involves investigating the connection between the scatterplot of bivariate data and the numerical value of the correlation coefficient.
https://education.ti.com/en/activity/detail/investigating-correlation

Is it Rare?

Students use the Poisson distribution to determine the probabilities for various numbers of hurricanes hitting the United States in a given year. Students will also explore the graph of the Poisson distribution and how it behaves.
https://education.ti.com/en/activity/detail/is-it-rare_1

Looking Normal

This lesson involves examining multiple samples taken from a single approximately normal population.
https://education.ti.com/en/activity/detail/looking-normal

Taylor Polynomials with CAS

Powerful tool for discussing graphs of Taylor polynomials.
https://education.ti.com/en/activity/detail/taylor-polynomials

Taylor Polynomial Examples

Taylor polynomials associated with five common functions.
https://education.ti.com/en/activity/detail/taylor-polynomial-examples

Percentiles

The goal of this activity is for students to use the area to the left of a value in a normal distribution to find its percentile. The process will then be reversed to find the value for a given percentile.
https://education.ti.com/en/activity/detail/percentiles_ib_ns

Somewhere in the Middle

In this activity, students will explore the Mean Value Theorem. Students will find out when the tangent line is parallel to the secant line passing through the endpoints of an interval to help them find the values of c guaranteed to exist by the MVT. Students will also test functions where the hy...
https://education.ti.com/en/activity/detail/somewhere-in-the-middle_1

Resampling

This lesson involves approximate sampling distributions obtained from simulations based directly on a single sample. The focus of the lesson is on conducting hypothesis tests in situations for which the conditions of more traditional methods are not met.
https://education.ti.com/en/activity/detail/resampling

Trend or Noise?

This lesson involves investigating aspects of statistical information reported in the media or other venues, aspects that are often misunderstood by those unfamiliar with sampling.
https://education.ti.com/en/activity/detail/trend-or-noise

Family of t Curves

This lesson involves investigating how a t-distribution compares to a normal distribution.
https://education.ti.com/en/activity/detail/family-of-t-curves