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A researcher wished to compare the average amount of time spent in extracurricular activities by high school students in suburban schools with that of students in a large city. The researcher obtained an SRS of 45 high school students in a suburban school district and found the mean tim spent in extracurricular activities per week to be 4 hours, with a sample standard deviation 1.1 hours. The researcher also obtained an independent sample of 59 high school students in a large city school district and found the mean time spent in extracurricular activities per week to be 5 hours with a standard deviation of 1.4 hours. Let μ₁ and μ₂ represent the true mean time spent i extracurricular activities per week by all high school students in the suburban and city schools, respectively. What is the standard error SE-, of the mean difference in time spent in extracurricular activities by high school students in these two groups? (Round your answer to 4 decimal places.)

A researcher wished to compare the average amount of time spent in extracurricular activities by high school students in suburban schools with that of students in a large city. The researcher obtained an SRS of 45 high school students in a suburban school district and found the mean tim spent in extracurricular activities per week to be 4 hours, with a sample standard deviation 1.1 hours. The researcher also obtained an independent sample of 59 high school students in a large city school district and found the mean time spent in extracurricular activities per week to be 5 hours with a standard deviation of 1.4 hours. Let μ₁ and μ₂ represent the true mean time spent i extracurricular activities per week by all high school students in the suburban and city schools, respectively. What is the standard error SE-, of the mean difference in time spent in extracurricular activities by high school students in these two groups? (Round your answer to 4 decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 7PPS
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A researcher wished to compare the average amount of time spent in extracurricular activities by high school students in suburban schools with that of students in a large city. The researcher obtained an SRS of 45 high school students in a suburban school district and found the mean time spent in extracurricular activities per week to be 4 hours, with a sample standard deviation 1.1 hours. The researcher also obtained an independent sample of 59 high school students in a large city school district and found the mean time spent in extracurricular activities per week to be 5 hours with a standard deviation of 1.4 hours. Let μ₁ and μ₂ represent the true mean time spent in extracurricular activities per week by all high school students in the suburban and city schools, respectively. What is the standard error SE-, of the mean difference in time spent in extracurricular activities by high school students in these two groups? (Round your answer to 4 decimal places.)
Transcribed Image Text:A researcher wished to compare the average amount of time spent in extracurricular activities by high school students in suburban schools with that of students in a large city. The researcher obtained an SRS of 45 high school students in a suburban school district and found the mean time spent in extracurricular activities per week to be 4 hours, with a sample standard deviation 1.1 hours. The researcher also obtained an independent sample of 59 high school students in a large city school district and found the mean time spent in extracurricular activities per week to be 5 hours with a standard deviation of 1.4 hours. Let μ₁ and μ₂ represent the true mean time spent in extracurricular activities per week by all high school students in the suburban and city schools, respectively. What is the standard error SE-, of the mean difference in time spent in extracurricular activities by high school students in these two groups? (Round your answer to 4 decimal places.)
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