An investigator is intended in estimating the total number of \"count trees\" (t

ID: 3022146 • Letter: A

Question

An investigator is intended in estimating the total number of "count trees" (trees larger than a specified size) on a plantation of N= 1500 acres. This information is used to determine the total volume of lumber for trees on the plantation. A simple random sample of n = 100 one-acre plots was selected, and each plot was examined for the number of count trees. The sample average for the n = 100 one-acre plots was y = 25.2 with a sample variance of s2 = 136. Estimate the total number of count trees on the plantation.Place a bound on the error of estimation.

Explanation / Answer

Data

Population Size

1500

Sample Mean

25.2

Sample Size

100

Sample Standard Deviation

11.6619

Confidence Level

95%

Intermediate Calculations

Population Total

37800.00

FPC Factor

0.9664

Standard Error of the Total

1690.5335

Degrees of Freedom

t Value

1.9842

Interval Half Width

3354.39

Confidence Interval

Interval Lower Limit

34445.61

Interval Upper Limit

41154.39

Estimate for total =37800

95% CI =(34446, 41154) ( Rounded)