The circumference of a particular species of tree was thought to be different de

Question

The circumference of a particular species of tree was thought to be different depending on certain geographical factors. An SRS of 60 trees is selected in Sequoyah National Forest, where it is found that 1 x = 6 meters with a standard deviation 1 s = 3 meters. A second SRS of size 40 is independently selected in Yellowstone National Forest, and it is found that 2 x = 4 meters with a standard deviation 2 s = 2 meters. Let 1 and 2 represent, respectively, the true mean circumferences of this particular species of tree. Assume the two-sample t procedures are safe to use. The researcher tests the following hypotheses: H0 : 1 = 2, Ha : 1 2 The 90% confidence interval is 2 ± 0.83 meters.

Based on this confidence interval,

a. we would reject the null hypothesis of no difference at the 0.10 level.

b. the P-value is less than 0.10.

c. neither A nor B is correct.

d. both A and B are correct.

Explanation / Answer

Since 90% confidnece interval doesn't include zero, we would reject the null hypothesis and the p - value is less than 0.10

Option d is correct.

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