In: Statistics and Probability
Below you are given ages that were obtained by taking a random sample of 6 undergraduate students. Assume the population has a normal distribution.
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 40  | 
 42  | 
 43  | 
 39  | 
 37  | 
 39  | 
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 a.  | 
 What is the point estimate of μ?  | 
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 b.  | 
 Determine the standard deviation.  | 
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 c.  | 
 Construct a 90% confidence interval for the average age of undergraduate students.  | 
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 d.  | 
 Construct a 99% confidence interval for the average age of undergraduate students.  | 
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 e.  | 
 Discuss why the 99% and 90% confidence intervals are different.  | 

a) 40
b) 2.1909
c)

d)

e) both are different because 99% confidence interval is wider than 90% confidence interval.
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