In: Statistics and Probability
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.
13.7 | 11.6 | 11.9 | 12.5 | 12.5 | 11.4 | 12.0 |
11.7 | 11.8 | 13.7 |
Appendix A Statistical Tables
(Round the intermediate values to 4 decimal places.
Round your answers to 2 decimal places.)
90% confidence interval:
≤ μ ≤
95% confidence interval:
≤ μ ≤
99% confidence interval:
≤ μ ≤
The point estimate is
.
The 90% confidence interval is
The 95% confidence interval
The 99% confidence interval
The point estimate is
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We shall calculate the mean and sd from the data. We shall make use of the following table of squares and sum.
x | x^2 | |
13.7 | 187.69 | |
11.6 | 134.56 | |
11.9 | 141.61 | |
12.5 | 156.25 | |
12.5 | 156.25 | |
11.4 | 129.96 | |
12 | 144 | |
11 | 121 | |
11.8 | 139.24 | |
13.7 | 187.69 | |
Total | 122.1 | 1498.25 |
The confidence interval for the mean is given by
The 90% confidence interval is
95% confidence interval
99% confidence interval
The 90% confidence interval is
The 95% confidence interval
The 99% confidence interval
The point estimate is