A study compares the rates of growth of vegetation at four swampy undeveloped sites using leaf lengths of a particular species. The table below summarizes the information.
Location | Sample size | Mean (?¯?x¯i) | Std. Dev (??si) |
1 | 6 | 6.12 | 0.235 |
2 | 6 | 5.75 | 0.349 |
3 | 6 | 5.45 | 0.404 |
4 | 6 | 3.7 | 0.287 |
Note that the pooled standard deviation (?) is 0.325.
a) What is the 90% confidence interval for location 1?
b) What is the 95% confidence interval for location 2?
c) What is the 99% confidence interval for the difference between location 3 and location 4?
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