NOVA just released (on May 15, 2018) a documentary on Statistics.
Here is a link to the DVD sold on Amazon: https://amzn.to/2KEysvO
Here is a link to the digital (streaming version): https://amzn.to/2rWcNrj
(Note: It is episode 8, currently $1.99 for...

From MATHRoberg

NOVA just released (on May 15, 2018) a documentary on Statistics.
Here is a link to the DVD sold on Amazon: https://amzn.to/2KEysvO
Here is a link to the digital (streaming version): https://amzn.to/2rWcNrj
(Note: It is episode 8, currently $1.99 for...

From MATHRoberg

This video is my attempt at the 2018 AP Statistics Free Response problem #3.
AP Statistics Practice Book: https://amzn.to/2LidOCW
This problem's context was recycling plastic bottles. It required knowledge of point estimates, margin of error, response ...

From MATHRoberg

This video is my attempt at the 2018 AP Statistics Free Response problem #3.
AP Statistics Practice Book: https://amzn.to/2LidOCW
This problem's context was recycling plastic bottles. It required knowledge of point estimates, margin of error, response ...

From MATHRoberg

At the 2018 Burbank High School Rubik's Cube Challenge Finals, the school record was broken. Congrats to all who competed.
Keep in mind these students use speed cubes like this: https://amzn.to/2ru2RpH
2018 Results
1st 9.11 - Nathan Soria
2nd 4...

From MATHRoberg

In this video I explain what a linear-quadratic system is, show how to determine the number of solutions to the system, and show how to find the solutions (ie. the points of intersection)....

From MATHRoberg

This problem is from the following book: http://goo.gl/t9pfIj
We first list all the steps for gathering a simple random sample (SRS). These include numbering all the students in the class, then using a random number generator randInt or randIntNoRep to s...

From MATHRoberg

This problem is from the following book: http://goo.gl/t9pfIj
We have a table of paired data and find the difference using the list function on our TI-84 graphing calculator. We then use the four step solving process (state, plan, do, conclude) to perfor...

From MATHRoberg

This problem is from the following book: http://goo.gl/t9pfIj
Using a random sample, we run a t-test on raw data for two-sided significance test. We use the 4-step solving process that includes stating hypotheses, checking conditions, calculating our tes...

From MATHRoberg

This problem is from the following book: http://goo.gl/t9pfIj
We use a hypotheses (significance) test to determine if a teacher is dismissing rows of students to lunch at random. This problem really follows a binomial setting, but our sample size is larg...

From MATHRoberg

This problem is from the following book: http://goo.gl/t9pfIj
We do a t-test on a TI-84 calculator by first following the four step process (state, plan, do, conclude). We state hypotheses and the significance level, we check conditions (random, independ...

From MATHRoberg

This problem is from the following book: http://goo.gl/t9pfIj
We use the four step process to do a significance test (one sided z test for population proportion). We check the conditions, the calculate the test statistics by both calculator and hand. Fin...

From MATHRoberg

This problem is from the following book: http://goo.gl/t9pfIj
The first step of a statistical significance test is to define your parameter of interest and state the hypotheses. The null hypothesis (or Ho) is a statement of equality, the current status q...

From MATHRoberg

This problem is from the following book: http://goo.gl/t9pfIj
Increasing the sample size with result in a more percise margin of error (ME). If a claimed parameter value is not contained in a confidence interval, you have statistically convincing evidenc...

From MATHRoberg

This problem is from the following book: http://goo.gl/t9pfIj
We start by identifying the population, parameter, sample, and statistic. Then we construct a t-interval for population mean. We follow the four step process which includes checking all the co...

From MATHRoberg

This problem is from the following book: http://goo.gl/t9pfIj
We discuss the conditions for constucting confidence intervals using t as a critical value (TInterval). Then, we construct a confidence interval for population mean using a TInterval....

From MATHRoberg

This problem is from the following book: http://goo.gl/t9pfIj
T Distributions have shorter peaks and fatter tails, especailly at low degrees of freedom. We look at the differences in finding critical values from confidence levels to create confidence int...

From MATHRoberg

This problem is from the following book: http://goo.gl/t9pfIj
If we have a maximum margin of error and set confidence level, we can calculate the minimum sample size required. If we have no hint at what p (the population proportion) is, we must assume th...

From MATHRoberg

This problem is from the following book: http://goo.gl/t9pfIj
We can use sample data (sample proportion) to construct a confidence interval to estimate the true population proportion. In this video we start by identifying the population, parameter, sampl...

From MATHRoberg

This problem is from the following book: http://goo.gl/t9pfIj
We calculate a probability using the normal distribution. Then, using the sampling distribution of x bar, we calculate the probability of observing a sample mean above a certain value. When we...

From MATHRoberg

This problem is from the following book: http://goo.gl/t9pfIj
Using repeated samples (1000) of 50 pennies each we created histograms of the sample range, sample mean, sample Q1, and sample maximum. We can use these histograms (which represent approximati...

From MATHRoberg

This problem is from the following book: http://goo.gl/t9pfIj
We determing the population, parameter, sample, and statistics then look at an approximate sampling distribution of the sample mean. We then use a modified boxplot of the population distributi...

From MATHRoberg

This problem is from the following book: http://goo.gl/t9pfIj
First we determine a situation follows a binomial setting. The acronym BINS can help with this. We check to see that it is binary, independent, has a fixed number of trials, and a fixed probab...

From MATHRoberg