A researcher is examining the gradate student lifestyle at UNCG, and wants to find out how many hours each week the average graduate student spends on class reading and homework. She obtains a list of every graduate student currently enrolled in coursework at UNCG and takes a simple random sample of 144 graduate students and find that the average student in her sample spends 17 hours a week on class reading and homework, with a standard deviation of 3 hours. She wants to use this information to infer how much time the entire population of graduate students on homework each week.   a. What is the standard error for the sampling distribution of time spent on homework? b. What is the 95% confidence interval for time spent on homework?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A researcher is examining the gradate student lifestyle at UNCG, and wants to find out how many hours each week the average graduate student spends on class reading and homework. She obtains a list of every graduate student currently enrolled in coursework at UNCG and takes a simple random sample of 144 graduate students and find that the average student in her sample spends 17 hours a week on class reading and homework, with a standard deviation of 3 hours. She wants to use this information to infer how much time the entire population of graduate students on homework each week.

 

a. What is the standard error for the sampling distribution of time spent on homework?

b. What is the 95% confidence interval for time spent on homework?

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