Suppose that a students group on campus wants to estimate the average GPA of students at Mercy. They take a simple random sample of 900 students. The average GPA of these 900 students is 2.6. The SD of this sample was 0.6. Thus, the average GPA of all of the students at Mercy is estimated to be ______________ give or take____________  or so. Write your answer for the standard error in the format 0.AB where A and B are integers.  The 95% confidence inteval for the average GPA of Mercy students is between ______________ and_______________ . Note the power behind the statistics of random sampling. Regardless of whether the Umass total population is 20,000 or 30,000, our sample of 900 students is enough to get an accurate GPA estimate of the entire population. In general, this estimate does not depend on the total population. This is why we can do accurate estimate of polling for even general presidential elections with very small sample sizes!

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter9: Solving Quadratic Functions
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Suppose that a students group on campus wants to estimate the average GPA of students at Mercy. They take a simple random sample of 900 students. The average GPA of these 900 students is 2.6. The SD of this sample was 0.6.

Thus, the average GPA of all of the students at Mercy is estimated to be ______________ give or take____________  or so. Write your answer for the standard error in the format 0.AB where A and B are integers. 

The 95% confidence inteval for the average GPA of Mercy students is between ______________ and_______________ .

Note the power behind the statistics of random sampling. Regardless of whether the Umass total population is 20,000 or 30,000, our sample of 900 students is enough to get an accurate GPA estimate of the entire population. In general, this estimate does not depend on the total population. This is why we can do accurate estimate of polling for even general presidential elections with very small sample sizes!

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