Homework SourseLeaf surface area is an important variable in plant gasexcha
Leaf surface area is an important variable in plant gas-exchange rates. An article included an analysis of dry matter per unit surface area (mg/cm3) for trees raised under three different growing conditions. Let 1, 2, and 3 represent the true mean dry matter per unit surface area for the growing conditions 1, 2, and 3, respectively. The given 95% simultaneous confidence intervals are based on summary quantities that appear in the article.
Which of the following four statements do you think describes the relationship between 1, 2, and 3?
A) 1 = 2, and 3 differs from 1 and 2.
B) 1 = 3, and 2 differs from 1 and 3.
C) 2 = 3, and 1 differs from 2 and 3.
D) 1 = 2 = 3
E) All three \'s are different from one another.
| Difference | |||
| Interval | (-1.96, 0.04) | (-3.48, -1.48) | (-2.33, -0.33) |
Solution
Look for zero in the CI\'s, if zero is not present, the difference is significant. Since first interval contains zero, but second and third are entirely on one side of zero, we conclude that mu1 and mu2 are plausibly equal, and mu3 is significantly different from the two.
(A)
