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.)

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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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