MATH 380 — ELEMENTARY PROBABILITY AND STATISTICS
Learning Objectives & Matches
Discuss the difference in the information given by the mean and the median
Analyze statistical information to estimate mortality, accident, sickness, disability, and retirement rates.
Identify gaps in information.
Process or interpret signals or sensor data.
Compare existing energy consumption levels to normative data.
Estimate consumer demand and determine the types and amounts of goods to be sold.
Report results of statistical analyses, including information in the form of graphs, charts, and tables.
Compile, analyze, and report data to explain economic phenomena and forecast market trends, applying mathematical models and statistical techniques.
Describe and express observations and conclusions in mathematical terms.
Analyze price proposals, financial reports, and other data and information to determine reasonable prices.
Decide which information should be included or excluded in reports.
Translate sentences that combine two or more attributes by using the words 'and' and 'or' into the intersection and union of events
Translate messages simultaneously or consecutively into specified languages, orally or by using hand signs, maintaining message content, context, and style as much as possible.
Identify, pursue, and arrest suspects and perpetrators of criminal acts.
Identify and resolve conflicts related to the meanings of words, concepts, practices, or behaviors.
Determine when an experiment calls for the use of the binomial distribution
Evaluate new testing and sampling methodologies or technologies to determine usefulness.
Develop and test experimental designs, sampling techniques, and analytical methods.
Determine root causes of failures or recommend changes in designs, tolerances, or processing methods, using statistical procedures.
Maintain databases of experiment characteristics or results.
Develop mathematical or statistical models of phenomena to be used for analysis or for computational simulation.
Consult with other scientists to determine parameters of experimentation or suitability of analytical models.
Monitor clinical trials or experiments to ensure adherence to established procedures or to verify the quality of data collected.
Design or conduct follow-up experimentation, based on generated data, to meet established process objectives.
Analyze laboratory findings to check the accuracy of the results.
Determine whether statistical methods are appropriate, based on user needs or research questions of interest.
Calculate binomial probabilities by hand and by using cumulative binomial probability tables
Construct probability tables for events such as fires, natural disasters, and unemployment, based on analysis of statistical data and other pertinent information.
Construct probability tables for events such as fires, natural disasters, and unemployment, based on analysis of statistical data and other pertinent information.
Compute figures such as balances, totals, or commissions.
Construct probability tables for events such as fires, natural disasters, and unemployment, based on analysis of statistical data and other pertinent information.
Calculate premiums and establish payment method.
Compute amounts of players' wins or losses, or scan winning tickets presented by patrons to calculate the amount of money won.
Compute sales prices, total purchases, and receive and process cash or credit payment.
Calculate purchase subtotals, taxes, and shipping costs for submission to customers.
Compute payment schedules.
Compute and verify amounts won or lost, paying out winnings or referring patrons to workers, such as gaming cashiers, so that winnings can be collected.
Calculate probabilities associated with a non-standard normal random variable by using a standard normal probability table
Set up the appropriate null and alternate hypotheses from word problems where one- or two-sided one-samples tests of population means are indicated (be able to tell which hypothesis is which and whether or not the alternative is one- or two-sided)
Test and analyze samples to determine their content and characteristics, using laboratory apparatus or testing equipment.
Apply sampling techniques, or use complete enumeration bases to determine and define groups to be surveyed.
Evaluate appropriateness of received specimens for requested tests.
Apply sampling techniques to determine groups to be surveyed or use complete enumeration methods.
Distribute or collect tests or homework assignments.
Collect, prepare, and label samples for laboratory testing, culture, or microscopic examination.
Collect specimens for laboratory tests.
Examine records, reports, or other documents to establish facts or detect discrepancies.
Collect specimens for use in laboratory tests.
Obtain specimens or samples for laboratory work.
Identify potential problems with bias and confounding when given a simple statistical design
Determine root causes of failures or recommend changes in designs, tolerances, or processing methods, using statistical procedures.
Design research projects that apply valid scientific techniques, and use information obtained from baselines or historical data to structure uncompromised and efficient analyses.
Adapt statistical methods to solve specific problems in many fields, such as economics, biology, and engineering.
Identify target markets for designs, looking at factors such as age, gender, and socioeconomic status.
Identify issues for research and analysis.
Draw conclusions or make predictions, based on data summaries or statistical analyses.
Evaluate feasibility of design ideas, based on factors such as appearance, safety, function, serviceability, budget, production costs/methods, and market characteristics.
Determine whether statistical methods are appropriate, based on user needs or research questions of interest.
Examine budget estimates for completeness, accuracy, and conformance with procedures and regulations.
Develop and test experimental designs, sampling techniques, and analytical methods.