options: Draw informal comparative inferences about two populations.

Make inferences and justify conclusions from sample surveys, experiments, and observational studies.

Understand independence and conditional probability and use them to interpret data.

Develop understanding of statistical variability.

Investigate patterns of association in bivariate data.

Investigate chance processes and develop, use, and evaluate probability models.

Use random sampling to draw inferences about a population.

Use the rules of probability to compute probabilities of compound events in a uniform probability model.

Calculate expected values and use them to solve problems.

Use probability to evaluate outcomes of decisions.

Interpret linear models.

Summarize and describe distributions.

Summarize, represent, and interpret data on a single count or measurement variable.

Summarize, represent, and interpret data on two categorical and quantitative variables.

Understand and evaluate random processes underlying statistical experiments.
problem_activity: Task
Ari has collected data on how much her classmates study each week and how well they did on their recent math test. Here is part of the data, showing the percentage of each group (divided according to hours spent studying) who got different grades on the test:
{"table": [{"_attributes": {"class": ["regular"]}, "tbody": [{"tr": [{"th": [{"_value": "Weekly Hours $w$ Studying"}, {"_value": "C or below on test"}, {"_value": "B on test"}, {"_value": "A on test"}]}, {"td": [{"_value": "$w \\lt$ 3"}, {"_value": "50%"}, {"_value": "20%"}, {"_value": "30%"}]}, {"td": [{"_value": "$3 \\leq w \\lt 6$"}, {"_value": "60%"}, {"_value": "25%"}, {"_value": "15%"}]}, {"td": [{"_value": "$w \\geq 6$"}, {"_value": "60%"}, {"_value": "20%"}, {"_value": "20%"}]}]}]}]}
What can you conclude about the percentage of Ari's classmates who got B's? What about the percent who got A's?
Looking at the table, Ari decides that in order to do well in her math class, she should not study more than 3 hours a week: she has a 30 percent chance of getting an A as long as she does not study more than 3 hours per week. Is Ari's reasoning valid?


correct_option_index: 10