This lesson involves investigating the differences between the standard deviations of sampling distributions of means for samples taken from finite populations with and without replacement.



 TINspire™ CX
 TINspire™ CX CAS
 TINspire™ Navigator™
 TINspire™
 TINspire™ CAS

3420



Students compare the t distribution to the standard normal distribution and use the invT command to find critical values for a t distribution.



 TINspire™ CX
 TINspire™ CX CAS
 TINspire™ Navigator™
 TINspire™
 TINspire™ CAS

2716



This is an introduction to the TINspire Data and Statistics feature. Real data from Subway is used to find the mean, create a histogram and boxandwhisker plots, and find a regression equation.
Concepts:
Central tendencies spread of data, histogram, box and whisker plots, and regression equation.




3020



Have you ever noticed in how many places π turns up? Students will take part in a Buffon's Needle experiment and see how close they can get to 3.14.
To set up the lesson, there will be a brief historical tour of Pi as well as a clip from NUMB3RS, SEASON 2, Judgment Call. Next, the students will do an experiment and then transfer the data collected to the TInSpire where it will be analyzed and interpreted. Last, they will get to explore the problem using a simulated version.




2498



Students review work with univariate and bivariate data in this quick activity appropriate for AP Statistics review.




2198



Students will investigate the binomial distribution for a small sample size of 10 with several different values for the probability of a success. Then students will graph a normal density curve along with the binomial distribution to roughly judge how accurately that model fits. Finally, students will discover that the larger the sample size, the less important the probability being close to 0.5 becomes. So, the normal distribution is a reasonable approximation to the binomial distribution.




2307



Use the TOUCHPAD Nspire to explore using:
the List & Spreadsheet Page to capture data previously entered as well as insert a column with new data;
the Data & Statistics Page to create and interprete graphs of Dot Plots, Box Plots, and scatterplots.
The learner will also analyze the data using the five number summary, measures of central tendencies, determine the LSRL and use graphs of the residuals and the square of the residuals to verify appropriateness of the y=mx+b regression model.




2260



Students use the concept of power to explore how the probability of rejecting the null hypothesis, when it is false, plays a role in a realworld scenario.



 TINspire™ Navigator™
 TINspire™
 TINspire™ CAS

2080



In this activity, students examine samples from a normal population and observing the distribution of the means of those samples. Then they will observe how the sampling distribution changes as the sample size changes. Students will apply what they have learned to a realworld situation.




2128



Students will develop lists of random numbers generated by the TINspire 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 numbers and discuss whether "patterns" they see in the set of random numbers are possible if the numbers are truly random.




2079



A brief review of the normal distribution in Problem 1 followed by a visual development of confidence intervals in Problem 2 using simulated data.




2044



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 corresponding area is greater than a given value, and then they conclude the activity by finding areas between z scores.



 TINspire™ CX
 TINspire™ CX CAS
 TINspire™
 TINspire™ CAS

2273



In this activity, students will learn four characteristics of a normal curve: the distribution is symmetric and moundshaped; the mean and median are approximately equal; the distribution meets the 6895.599.7 rule; and the normal probability plot is linear. They will use these to determine if a data set it normal.



 TINspire™ CX
 TINspire™ CX CAS
 TINspire™ Navigator™
 TINspire™
 TINspire™ CAS

4913



A high profile criminal case in our area gave me the idea of creating a binomial distribution using jury selection based on a selection by gender. Many cases could possibly be determined by the selection of men or women.




2103



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 trials.




2079


