deviation approximately 4 square inches. a. If the forester samples n = 9 trees, find the probability that the sample mean will be within 2 square inches of the population mean. b. He would like the sample mean to be within 1 square inch of the population mean, with probability 0.90. How many trees must he measure in order to ensure this degree of accuracy?

MATLAB: An Introduction with Applications
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1. A forester studying the effects of fertilization on certain pine forests in the Southeast is interested in
estimating the average basal area of pine trees. In studying basal areas of similar trees for many years,
he has discovered that these measurements (in square inches) are normally distributed with standard
deviation approximately 4 square inches.
a. If the forester samples n = 9 trees, find the probability that the sample mean will be within 2
square inches of the population mean.
b. He would like the sample mean to be within 1 square inch of the population mean, with probability
0.90. How many trees must he measure in order to ensure this degree of accuracy?
2. The quality of computer disks is measured by the number of missing pulses. Brand X is such that 80%
of the disks have no missing pulses. If 100 disks of brand X are inspected, what is the probability that
15 or more contain missing pulses?
Transcribed Image Text:1. A forester studying the effects of fertilization on certain pine forests in the Southeast is interested in estimating the average basal area of pine trees. In studying basal areas of similar trees for many years, he has discovered that these measurements (in square inches) are normally distributed with standard deviation approximately 4 square inches. a. If the forester samples n = 9 trees, find the probability that the sample mean will be within 2 square inches of the population mean. b. He would like the sample mean to be within 1 square inch of the population mean, with probability 0.90. How many trees must he measure in order to ensure this degree of accuracy? 2. The quality of computer disks is measured by the number of missing pulses. Brand X is such that 80% of the disks have no missing pulses. If 100 disks of brand X are inspected, what is the probability that 15 or more contain missing pulses?
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