Student Ages Suppose that 200 statistics students each took a random sample (with replacement) of 50 students at their college and recorded the ages of the students in their sample. Then each student used his or her data to calculate a 95 % confidence interval for the mean age of all students at the college. How many of the 200 intervals would you expect to capture the true population mean age, and how many would you expect not to capture the true population mean? Explain by showing your calculation.
Student Ages Suppose that 200 statistics students each took a random sample (with replacement) of 50 students at their college and recorded the ages of the students in their sample. Then each student used his or her data to calculate a 95 % confidence interval for the mean age of all students at the college. How many of the 200 intervals would you expect to capture the true population mean age, and how many would you expect not to capture the true population mean? Explain by showing your calculation.
Solution Summary: The author explains how to determine the expected number of intervals that capture the true population mean.
Student Ages Suppose that 200 statistics students each took a random sample (with replacement) of 50 students at their college and recorded the ages of the students in their sample. Then each student used his or her data to calculate a
95
%
confidence interval for the mean age of all students at the college. How many of the 200 intervals would you expect to capture the true population mean age, and how many would you expect not to capture the true population mean? Explain by showing your calculation.
Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.
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Part (b)
Draw a scatter plot of the ordered pairs.
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Life
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Life
Expectancy
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Life
Expectancy
Part (c)
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Expectancy
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Harvard University
California Institute of Technology
Massachusetts Institute of Technology
Stanford University
Princeton University
University of Cambridge
University of Oxford
University of California, Berkeley
Imperial College London
Yale University
University of California, Los Angeles
University of Chicago
Johns Hopkins University
Cornell University
ETH Zurich
University of Michigan
University of Toronto
Columbia University
University of Pennsylvania
Carnegie Mellon University
University of Hong Kong
University College London
University of Washington
Duke University
Northwestern University
University of Tokyo
Georgia Institute of Technology
Pohang University of Science and Technology
University of California, Santa Barbara
University of British Columbia
University of North Carolina at Chapel Hill
University of California, San Diego
University of Illinois at Urbana-Champaign
National University of Singapore
McGill…
Name
Harvard University
California Institute of Technology
Massachusetts Institute of Technology
Stanford University
Princeton University
University of Cambridge
University of Oxford
University of California, Berkeley
Imperial College London
Yale University
University of California, Los Angeles
University of Chicago
Johns Hopkins University
Cornell University
ETH Zurich
University of Michigan
University of Toronto
Columbia University
University of Pennsylvania
Carnegie Mellon University
University of Hong Kong
University College London
University of Washington
Duke University
Northwestern University
University of Tokyo
Georgia Institute of Technology
Pohang University of Science and Technology
University of California, Santa Barbara
University of British Columbia
University of North Carolina at Chapel Hill
University of California, San Diego
University of Illinois at Urbana-Champaign
National University of Singapore…
Elementary Statistics ( 3rd International Edition ) Isbn:9781260092561
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