PROBABILITY & STATISTICS - Freehold Regional High School District

Freehold Regional High School DistrictProbability & StatisticsUnit #6: Confidence IntervalsEnduring Understanding: The larger the sample, the more accurate the data is when mapped onto a population.Essential Questions: What is a confidence interval?Why is it necessary to apply confidence intervals when attempting to generalize results of a sample to the population in the aggregate?Unit Goals: Students will employ the use of confidence intervals to determine the likelihood of a population mean being between a certain set of values.Students will apply the concepts of confidence intervals to determine differences between two population means.Duration of Unit: 4 weeksNJCCCS: 4.4 A 2, 5; B 5-6Content, Themes, Concepts, and Instructional Resources TeachingGuiding / Topical QuestionsAssessment StrategiesSkillsand MaterialsStrategiesWhat is a confidence interval?How does one construct a confidenceinterval?How does one interpret the solution to aconfidence interval?How does one compute a confidenceinterval for two population means?Define a confidence interval.Distinguish between a point estimate and aninterval estimate.Utilize the graphing calculator to solve for aZInterval.Discuss various ways to write the solution inlayman’s terms.Apply the appropriate formula using eitherthe z statistic or the t statistic.Current textbook andresource bindersInternetMagazinesNewspapersVideosGraphing CalculatorsLecture and classdiscussionComplete the chapterstudy guidesStudent investigationactivitiesWritten tests and quizzesWorksheetsProject assessmentsNotebook assessmentsResponses to discussionquestionsJournal assessmentsStudent response systems forimmediate feedbackWhy is it important to determine if thestandard deviation is known or unknown?Show the difference in the formulae given aknown or unknown standard deviation.Suggestions on how to differentiate in this unit:• Students will work individually, engage in cooperative learning, and utilize discovery learning on certain activities.• Through the use of lectures, the internet, and interactive whiteboards, students will be exposed to various teaching methods to appeal to visual, auditory, andkinesthetic learners.• Students will be given copies of data sets and other important notes.13