options: Interpret linear models.

Draw informal comparative inferences about two populations.

Use random sampling to draw inferences about a population.

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

Understand and evaluate random processes underlying statistical experiments.

Develop understanding of statistical variability.

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

Summarize and describe distributions.

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

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

Calculate expected values and use them to solve problems.

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

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

Investigate patterns of association in bivariate data.

Use probability to evaluate outcomes of decisions.
problem_activity: Problem 1
A company hires five people for the same job for one week. The amount that each person is paid for the week is shown in the table below.
{"table": [{"_attributes": {"class": ["table", "table-bordered"], "style": "width:100%"}, "tbody": [{"tr": [{"td": [{"strong": [{"_value": "Person"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "Person A"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "Person B"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "Person C"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "Person D"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "Person E"}]}]}, {"td": [{"strong": [{"_value": "Amount Paid"}]}, {"_attributes": {"style": "text-align:center"}, "_value": "$360"}, {"_attributes": {"style": "text-align:center"}, "_value": "$340"}, {"_attributes": {"style": "text-align:center"}, "_value": "$300"}, {"_attributes": {"style": "text-align:center"}, "_value": "$200"}, {"_attributes": {"style": "text-align:center"}, "_value": "$400"}]}]}]}]}
Person D states that the payments are not fair since each person is doing the same job and brings the same set of skills to the job. Everyone agrees that they should all get paid the same amount.
How much should each person get paid so that everyone gets the same amount? Assume that the company will spend the same amount as it currently is.
Problem 2
After finding the average or fair share payment for each person, Person E decides to not take the job because they would be making less money.
a.   If Person E leaves, then what is the new average payment of persons A–D?
b.   What impact did Person E leaving have on the average payment?
Problem 3
The company asks the five people how many hours each person worked that week to complete the job. The results are shown in the table below.
{"table": [{"_attributes": {"class": ["table", "table-bordered"], "style": "width:100%"}, "tbody": [{"tr": [{"td": [{"strong": [{"_value": "Person"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "Person A"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "Person B"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "Person C"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "Person D"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "Person E"}]}]}, {"td": [{"strong": [{"_value": "Hours worked"}]}, {"_attributes": {"style": "text-align:center"}, "_value": "24"}, {"_attributes": {"style": "text-align:center"}, "_value": "28"}, {"_attributes": {"style": "text-align:center"}, "_value": "22"}, {"_attributes": {"style": "text-align:center"}, "_value": "20"}, {"_attributes": {"style": "text-align:center"}, "_value": "36"}]}]}]}]}
What is the mean, or average, number of hours worked by a person last week?


correct_option_index: 5

7