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Q1) Following sample of five student papers were chosen to find out average exam score for all students taking course: 55, 66, 82, 83, and 79.
Suppose for all parts of this question that test scores are normally distributed,
a) Find out sample mean (x, or x-bar) for this group.
b) If that exam scores for whole student population taking exam had standard deviation (σ) of 10 find out 95% confidence interval for mean test score
c) Compute the margin of error for confidence interval in (b)?
d) Find out sample standard deviation (s) for this group
e) If you did not know anything about standard deviation of population from which sample was taken, find out the 95% confidence interval for mean test score.
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