In this lesson, students use the information gap format to ask questions to acquire information to analyze data from an experiment. In the optional activity, students use a table of values to find the area under a normal curve above an interval based on the z-score of the values. The activity is optional since it is only necessary if technology is unavailable to find these areas.
Students must reason abstractly and quantitatively (MP2) when they understand the statistics in context. Students also attend to precision (MP6) by considering the questions they need to ask in order to get information to analyze the experimental data. Students use a normal distribution to model data from randomized regroupings of data from an experiment (MP4) to determine whether there is evidence that the treatment is the cause of any difference in means obtained from the experiment.
- Ask questions (orally) to determine information needed to analyze data from an experiment.
- Identify the area under a normal curve above an interval based on z-scores and a table of values.
Let's ask the right questions to analyze data from an experiment.
The optional activity requires students to use a table of areas under the standard normal curve using z-scores. Find a table like this online and make copies for the class. Searching for "z score table" should provide several options.
- I can use a randomization distribution to determine whether or not a treatment was the cause of the results of an experiment, or if the results are due to the random assignment of the groups.
- I understand why it is important to question the results of an experiment.
In an experiment where you are comparing two groups, one of which is being given a treatment and the other of which is the control group without any treatment, the treatment is the value of the variable that is changed for the treatment group.