Suppose that a students group on campus wants to estimate the average GPA of students at Umass Boston. 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 Umass 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 Umass 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!

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Suppose that a students group on campus wants to estimate the average GPA of students at Umass Boston. 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 Umass 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 Umass 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!
Transcribed Image Text:Suppose that a students group on campus wants to estimate the average GPA of students at Umass Boston. 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 Umass 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 Umass 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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