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

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.

Investigate patterns of association in bivariate data.

Calculate expected values and use them to solve problems.

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

Summarize and describe distributions.

Draw informal comparative inferences about two populations.

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

Develop understanding of statistical variability.

Use probability to evaluate outcomes of decisions.

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

Understand and evaluate random processes underlying statistical experiments.

Interpret linear models.

Understand independence and conditional probability and use them to interpret data.
problem_activity: Problem 1
Part A: Predict the shape of the graph at 2,000 trials.
{"table": [{"_attributes": {"class": ["table"], "style": "width:100%"}, "tbody": [{"tr": [{"td": [{"_attributes": {"style": "text-align:center"}, "_value": "10 trials"}, {"_attributes": {"style": "text-align:center"}, "_value": "100 trials"}, {"_attributes": {"style": "text-align:center"}, "_value": "533 trials"}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "img": [{"_attributes": {"alt": "", "src": "https://d37su8u1z9ynie.cloudfront.net/uploads/2018/06/05/algiiu8_l7_at1.png", "style": "height:122px; width:300px"}}]}, {"_attributes": {"style": "text-align:center"}, "img": [{"_attributes": {"alt": "", "src": "https://d37su8u1z9ynie.cloudfront.net/uploads/2018/06/05/algiiu8_l7_at1a.png", "style": "height:115px; width:300px"}}]}, {"_attributes": {"style": "text-align:center"}, "img": [{"_attributes": {"alt": "", "src": "https://d37su8u1z9ynie.cloudfront.net/uploads/2018/06/05/algiiu8_l7_at1b.png", "style": "height:120px; width:300px"}}]}]}]}]}]}
Part B: At 1,799 trials, the graph looks like this:
[IMG]
The mean of the data is approximately 6, and the standard deviation is 1.7. The blue lines around the graph are what should be the "ideal" normal distribution.
Describe what the mean and the standard deviation mean in terms of this situation.
Problem 2
Match the following distributions with the histograms. Explain your reasoning.
{"table": [{"_attributes": {"align": "center", "class": ["table"], "style": "width:80%"}, "tbody": [{"tr": [{"td": [{"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "Distribution"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "Shape"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "Mean"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "Standard Deviation"}]}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "A"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "Skewed to the right"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "100"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "10"}]}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "B"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "Approximately symmetric, mound shaped"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "100"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "10"}]}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "C"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "Approximately symmetric, mound shaped"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "100"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "40"}]}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "D"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "Skewed to the right"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "100"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "40"}]}]}]}]}]}
[IMG]


correct_option_index: 12