Question

In a study of the effects of acid rain, a random sample of 100 trees from a particular forest is examined. Forty percent of these show some signs of damage. Which of the following statements is correct?

a.None of the above
b. The sampling distribution of the proportion of damaged trees is approximately Normal
c.This is a comparative experiment.
d.If a sample of 1000 trees was examined, the variability of the sample proportion would be larger than in a sample of 100 trees
e.If we took another random sample of trees, we would find that 40% of these would show some signs of damage

Answer 1

Answer: B

Step-by-step explanation:

The sampling distribution of the proportion of damaged trees is approximately Normal

Answer 2

Answer:B. The sampling distribution of the proportion of damaged trees is approximately Normal.

Step-by-step explanation: Sampling distribution is a probability distribution of a statistic which is gotten through the collection of a large number of samples from the population of interest.

A normal distribution is a distribution of the samples symmetrically around the mean, when a Statistical metric shows that the outcome is distributed around the central region it shows that the distribution is normal.

FOR A FORTY PERCENT INCIDENCE, THE SAMPLING DISTRIBUTION OF THE PROPORTION OF DAMAGED TREES IS APPROXIMATELY NORMAL AS IT IS CLOSE TO 50% WHICH IS THE MEAN OF 100%.