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QMS 202 (65)
Midterm

QMS 202 Midterm: QMS 202 - Midterm Exam

3 Pages
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School
Department
Quantitative Methods
Course
QMS 202
Professor
Clare Chua- Chow
Semester
Winter

Description
CHAPTER 10: Confidence Interval: (INTR) QUANTITATIVE DATA: (numerical data)- discrete(counting process) or continuous(measurement) ----- (Mean µ) QUALITATIVE DATA: (categorical data)-non numerical data ----- (Proportion π) Sample data Population data X with a dash on top= sample mean µ= population mean x= data (from sample) x=data (from population) n=SAMPLE size N=POPULATION size Σ = summation therefore Σx = add up the data 1-Sample Z Interval - calculates the confidence interval for an unknown population mean when the population standard deviation is known. 2-Sample Z Interval - calculates the confidence interval for the difference between two population means when the population standard deviations of two samples are known. 1-Prop Z Interval - calculates the confidence interval for an unknown proportion of successes. 2-Prop Z Interval - calculates the confidence interval for the difference between the proportion of successes in two populations. 1-Sample t Interval - calculates the confidence interval for an unknown population mean when the population standard deviation is unknown. 2-Sample t Interval - calculates the confidence interval for the difference between two population means when both population standard deviations are unknown. • When estimation confidence interval if σ is known Z if it is unknown then t Example: Construct a 95% confidence interval to estimate the population mean with X(with dash over it)=45 , σ=30 and n=40. 1-Sample ZInterval Data:F2(Var)▼ C-Level: 0.95 σ: 30 X :45 n: 40 INTR - Z Interval INTR - t Interval 1-s: 1-s: C-Level: Confidence Interval C –Level : Confidence Interval σ: Standard Deviation x with dash on top: mean x with dash on top : mean sx: standard deviation n: sample size n: sample size 1-p: C-Level: Confidence interval X: # of success n: sample size left = left side of interval right = right side of interval p with mark on top = centre of interval, sample proportion α = significance level 1 – Confidence interval % = α Critical Value - (DIST) Critical Z value = Stat – Dist – Norm – InvN ------ Z value = + and - DIST - NORM DIST - t InvN: to find z score Invt: Tail: right, left , centre
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