SOLUTION: Construct 90%, 95%, and 99% confidence intervals to estimate μ from the following data. State the point estimate. Assume the data come from a normally distributed population. 1

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Question 1149102: Construct 90%, 95%, and 99% confidence intervals to estimate μ from the following data. State the point estimate. Assume the data come from a normally distributed population.
12.6
11.6
11.9
13.0
12.5
11.4
12.0
11.7
11.8
12.6

(Round the intermediate values to 4 decimal places. Round your answers to 2 decimal places.)
90% confidence interval:
enter the lower limit of the 90% confidence interval

≤ μ ≤
enter the upper limit of the 90% confidence interval


95% confidence interval:
enter the lower limit of the 95% confidence interval

≤ μ ≤
enter the upper limit of the 95% confidence interval


99% confidence interval:
enter the lower limit of the 99% confidence interval

≤ μ ≤
enter the upper limit of the 99% confidence interval



The point estimate is ?






Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
Need the mean and sd
mean is 12.11, THIS IS THE POINT ESTIMATE
sd s is 0.528
the half-interval is tdf=9, appropriate CI wished*s/sqrt(n)
so for 90% where t=1.833
the half-interval is 1.833*0.528/sqrt(10)=0.3061
the 90% CI for the mean is mean+/-0.31 or (11.80, 12.42)
95% is done the same way with t=2.262
99% has t=2.821
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