Question 1140018: The following random sample was selected from a normal distribution:
1 14 11 16 10 14 13 13 12 2
(a) Construct a 90% confidence interval for the population mean μ.
≤μ≤
(b) Construct a 95% confidence interval for the population mean μ.
≤μ≤
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! The mean is 106/10 or 10.6
The sd, of sample is 5.08
90% CI has half-interval of t df=9, 0.975 *5.08/sqrt (10)
t is 1.833
the half-interval is 1.833*5.08/sqrt(10)=2.94
the 90% CI is (7.66, 13.54)
for 95% CI, the t is 2.262 and the half-interval is 3.63
the 95% CI is (6.97, 14.23)
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