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Lecture Basic statistics for business & economics (8/e): Chapter 11 – Lind, Marchal, Wathen

Chapter 11 - Two-sample tests of hypothesis. Learning objectives of this chapter include: Test a hypothesis that two independent population means with known population standard deviations are equal; carry out a hypothesis test that two population proportions are equal; conduct a hypothesis test that two independent population means are equal, assuming equal but unknown population standard deviations;. | Two-Sample Tests of Hypothesis Chapter 11 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin LEARNING OBJECTIVES LO 11-1 Test a hypothesis that two independent population means with known population standard deviations are equal. LO 11-2 Carry out a hypothesis test that two population proportions are equal. LO 11-3 Conduct a hypothesis test that two independent population means are equal, assuming equal but unknown population standard deviations. LO 11-4 Explain the difference between dependent and independent samples. LO 11-5 Carry out a test of hypothesis about the mean difference between paired and dependent observations. 11- Comparing Two Populations – Some Examples Is there a difference in the mean value of residential real estate sold by male agents and female agents in south Florida? Is there a difference in the mean number of defects produced during the day and the afternoon shifts at Kimble Products? Is there a difference in the mean number of days absent between young workers (under 21 years of age) and older workers (more than 60 years of age) in the fast-food industry? Is there is a difference in the proportion of Ohio State University graduates and University of Cincinnati graduates who pass the state Certified Public Accountant Examination on their first attempt? Is there an increase in the production rate if music is piped into the production area? 11- Comparing Two Population Means: Equal Variances The samples come from a normal population. The samples are from independent populations. The formula for computing the test statistic (z) is: LO 11-1 Test a hypothesis that two independent population means with known population standard deviations are equal. 11- Comparing Two Population Means – Example EXAMPLE The U-Scan facility was recently installed at the Byrne Road Food-Town location. The store manager would like to know if the mean checkout time using the standard checkout method is | Two-Sample Tests of Hypothesis Chapter 11 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin LEARNING OBJECTIVES LO 11-1 Test a hypothesis that two independent population means with known population standard deviations are equal. LO 11-2 Carry out a hypothesis test that two population proportions are equal. LO 11-3 Conduct a hypothesis test that two independent population means are equal, assuming equal but unknown population standard deviations. LO 11-4 Explain the difference between dependent and independent samples. LO 11-5 Carry out a test of hypothesis about the mean difference between paired and dependent observations. 11- Comparing Two Populations – Some Examples Is there a difference in the mean value of residential real estate sold by male agents and female agents in south Florida? Is there a difference in the mean number of defects produced during the day and the afternoon shifts at Kimble Products? Is there a difference in