Bark beetles are tiny insects with hard, cylindrical bodies thatreproduce under the bark of trees. While bark beetles are native toU.S. forests and play important ecological roles, they can causeextensive tree mortality and negative economic and social impacts.Researchers at Los Alamos National Laboratory are interested in thebehavior of Bark Beetles living in the Santa Fe National Forest. Inparticular, they are interested in the average size of thesebeetles (body length measured in mm). They assume that thedistribution of body length for these beetles can be modeled with aNormal distribution with mean μ and standard deviation σ. Afterspending several weeks in the field, they have measured andrecorded the body length of 263 of these beetles. The average bodylength of these 263 beetles is 6.14mm with a calculated standarddeviation of 1.89mm.

1. What is the population of interest?

2. What is the sample size?

3. What is the sample?

4. What parameters are mentioned in this problem?Explain what the parameters mean in terms of theproblem.

5. What is the sample data?

6. What are the estimators mentioned in this problem?For each estimator, explain which parameter it is supposed toestimate.

7. What are the estimates for the parameters in thisproblem?