Summary_Table_of_Statistical_Techniques

Summary_Table_of_Statistical_Techniques - Summary Table for...

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Summary Table for Statistical Techniques Inference Parameter Statistic Type of Data Examples Analysis Minitab Command Conditions 1 Estimating a mean One population mean µ (Ch 12.4) sample mean x numerical What is the average weight of adults? What is the average cholesterol level of adult females? 1-sample t-interval n s t x * ± Stat >Basic statistics >1-sample t data approximately normal or have a large sample size (n ≥ 30) 2 Test about a mean One population mean µ (Ch 13.2) sample mean x numerical Is the average GPA of juniors at Penn State higher than 3.0? Is the average Winter temperature in State College less than 42 ْ F? H o : µ = µ o H a : µ µ o or H a : µ > µ o or H a : µ < µ o The one sample t test: n s x t 0 μ - = Stat >Basic statistics >1-sample t data approximately normal or have a large sample size (n ≥ 30) 3 Estimating a proportion One population proportion p (Ch. 10) sample proportion (n ≥ 30) categorical (binary) What is the proportion of males in the world? What is the proportion of students that smoke? 1-proportion Z-interval n p p z p ) ˆ 1 ( ˆ ˆ * - ± Stat >Basic statistics >1-sample proportion n p ˆ ≥ 10 and n (1- p ˆ ) ≥ 10 4 Test about a proportion One population proportion p (Ch. 11) sample proportion p ˆ categorical (binary) Is the proportion of females different from 0.5? Is the proportion of students who fail Stat200 less than 0.1? H o : p = p o H a : p p o or H a : p > p o or H a : p < p o The one proportion Z-test: n p p p p z ) 1 ( ˆ 0 0 0 - - = Stat >Basic statistics >1-sample proportion n p o 10 and n (1-p o ) 10 1
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Inference Parameter Statistic Type of Data Examples Analysis Minitab Command Conditions 5 Estimating the difference of two means difference in two population means µ 1 2 (Ch 12.5) difference in two sample means 2 1 x x - numerical How different are the mean GPAs of males and females? How many fewer
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Summary_Table_of_Statistical_Techniques - Summary Table for...

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