Homework ReviewIntroductionQualitative VariablesQuantitative VariablesCautionContinuous and Discrete VariablesAssignmentWhat Are WeSummarizing?Robb T.KoetherHomeworkReviewIntroductionQualitativeVariablesQuantitativeVariablesCautionContinuous andDiscrete VariablesAssignmentWhat Are We Summarizing?Lecture 11Sections 4.1 - 4.2Robb T. KoetherHampden-Sydney CollegeMon, Feb 2, 2008What Are WeSummarizing?Robb T.KoetherHomeworkReviewIntroductionQualitativeVariablesQuantitativeVariablesCautionContinuous andDiscrete VariablesAssignmentOutline1Homework Review2Introduction3Qualitative Variables4Quantitative VariablesCautionContinuous and Discrete Variables5AssignmentWhat Are WeSummarizing?Robb T.KoetherHomeworkReviewIntroductionQualitativeVariablesQuantitativeVariablesCautionContinuous andDiscrete VariablesAssignmentHomework ReviewExercise 3.31, p. 184A nutrition experimenter intends to compare the weightgain of male rats fed Diet A with that of male rats fedDiet B.Twenty rats are available for this experiment.She would like to randomly allocate 10 rats to Diet Aand the remaining 10 rats to Diet B.She decides to label the 20 rats as follows: 01, 02, 03,. . . , 20.What Are WeSummarizing?Robb T.KoetherHomeworkReviewIntroductionQualitativeVariablesQuantitativeVariablesCautionContinuous andDiscrete VariablesAssignmentHomework ReviewExercise 3.31, p. 184(a) Use the experimenter’s labels and your calculator (witha seed value of 72) to identify the labels of the first 10rats selected that would be assigned to Diet A.(b) The experimenter hopes Diet A is the better diet. Toavoid possible bias in her results because of herfavoritism, she blinds herself to her experiment. Explainhow she would do this.What Are WeSummarizing?Robb T.KoetherHomeworkReviewIntroductionQualitativeVariablesQuantitativeVariablesCautionContinuous andDiscrete VariablesAssignmentHomework ReviewSolution(a) The first 10 distinct random numbers are 14, 13, 5, 16,9, 3, 4, 2, 7, and 10.(b) She would make sure that the person who made themeasurements on the rats did not know which rats weregiven Diet A and which were given Diet B.What Are WeSummarizing?Robb T.KoetherHomeworkReviewIntroductionQualitativeVariablesQuantitativeVariablesCautionContinuous andDiscrete VariablesAssignmentIntroductionStatisticians like to quantify everything.Given a set of data, they want to summarize it with asingle number.How might we summarizeA sample of political affiliations?A sample of body weights?A sample of steak preferences (rare, medium, etc.)?A sample of family sizes?A sample of temperatures throughout the day?What Are WeSummarizing?Robb T.KoetherHomeworkReviewIntroductionQualitativeVariablesQuantitativeVariablesCautionContinuous andDiscrete VariablesAssignmentIntroductionStatisticians like to quantify everything.Given a set of data, they want to summarize it with asingle number.How might we summarizeA sample of political affiliations?A sample of body weights?A sample of steak preferences (rare, medium, etc.)?A sample of family sizes?A sample of temperatures throughout the day?What Are WeSummarizing?Robb T.KoetherHomeworkReviewIntroductionQualitativeVariablesQuantitativeVariablesCautionContinuous andDiscrete VariablesAssignmentIntroductionStatisticians like to quantify everything.Given a set of data, they want to summarize it with asingle number.How might we summarizeA sample of political affiliations?A sample of body weights?A sample of steak preferences (rare, medium, etc.)?A sample of family sizes?A sample of temperatures throughout the day?What Are WeSummarizing?Robb T.KoetherHomeworkReviewIntroductionQualitativeVariablesQuantitativeVariablesCautionContinuous andDiscrete VariablesAssignmentIntroductionStatisticians like to quantify everything.Given a set of data, they want to summarize it with asingle number.How might we summarizeA sample of political affiliations?A sample of body weights?A sample of steak preferences (rare, medium, etc.)?A sample of family sizes?A sample of temperatures throughout the day?What Are WeSummarizing?Robb T.KoetherHomeworkReviewIntroductionQualitativeVariablesQuantitativeVariablesCautionContinuous andDiscrete VariablesAssignmentIntroductionStatisticians like to quantify everything.Given a set of data, they want to summarize it with asingle number.How might we summarizeA sample of political affiliations?A sample of body weights?A sample of steak preferences (rare, medium, etc.)?A sample of family sizes?A sample of temperatures throughout the day?What Are WeSummarizing?Robb T.KoetherHomeworkReviewIntroductionQualitativeVariablesQuantitativeVariablesCautionContinuous andDiscrete VariablesAssignmentIntroductionStatisticians like to quantify everything.Given a set of data, they want to summarize it with asingle number.How might we summarizeA sample of political affiliations?A sample of body weights?A sample of steak preferences (rare, medium, etc.)?A sample of family sizes?A sample of temperatures throughout the day?What Are WeSummarizing?Robb T.KoetherHomeworkReviewIntroductionQualitativeVariablesQuantitativeVariablesCautionContinuous andDiscrete VariablesAssignmentIntroductionStatisticians like to quantify everything.Given a set of data, they want to summarize it with asingle number.How might we summarizeA sample of political affiliations?A sample of body weights?A sample of steak preferences (rare, medium, etc.)?A sample of family sizes?A sample of temperatures throughout the day?What Are WeSummarizing?Robb T.KoetherHomeworkReviewIntroductionQualitativeVariablesQuantitativeVariablesCautionContinuous andDiscrete VariablesAssignmentIntroductionStatisticians like to quantify everything.Given a set of data, they want to summarize it with asingle number.How might we summarizeA sample of political affiliations?A sample of body weights?A sample of steak preferences (rare, medium, etc.)?A sample of family sizes?A sample of temperatures throughout the day?What Are WeSummarizing?Robb T.KoetherHomeworkReviewIntroductionQualitativeVariablesQuantitativeVariablesCautionContinuous andDiscrete VariablesAssignmentQualitative VariablesDefinition (Qualitative variable)A qualitative variable is a variable whose values arenonnumerical.The values of a qualitative variable may or may nothave a natural order.Political affiliation.Steak preference.What Are WeSummarizing?Robb T.KoetherHomeworkReviewIntroductionQualitativeVariablesQuantitativeVariablesCautionContinuous andDiscrete VariablesAssignmentSummarizing Qualitative VariablesTypically,
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