Due to a change in the personnel responsible for monitoring the quality of the plant's waste water, the population mean amount of toxic particles in the water during a given month is u=54.16 ppm. with o=8 ppm. If the EPA is using a sample mean of 51.96, what is the probability that on a given day this month, the average amount of toxic particles determined from 64 water samples will not result in the plant being fined? .0139 9861 025 975 028

MATLAB: An Introduction with Applications
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I do not understand why 0.0139 is the ans please provide clear explanation and steps. Thank you!
A chemical plant is allowed to dispose a certain amount of waste
water into a river. The Environmental Protection Agency (EPA)
takes samples of the river water at several locations downstream
from the plant. If the plant complies with the EPA regulations, the
population mean amount of toxic particles in the water is u=50
parts per million (ppm). Each day, the EPA selects 36 water
samples and computes the average amount of toxic particles, and
then uses this information to determine if they should conclude
that the population mean amount of toxic particles is greater than
50 ppm. If so, the owner of the plant will be fined, Use the
hypotheses Ho: us50 ppm. and H,: u>50 ppm.
Due to a change in the personnel responsible for monitoring the
quality of the plant's waste water, the population mean amount of
toxic particles in the water during a given month is u=54.16 ppm.
with o=8 ppm. If the EPA is using a sample mean of 51.96, what is
the probability that on a given day this month, the average amount
of toxic particles determined from 64 water samples will not result
in the plant being fined?
0139
9861
025
975
028
Transcribed Image Text:A chemical plant is allowed to dispose a certain amount of waste water into a river. The Environmental Protection Agency (EPA) takes samples of the river water at several locations downstream from the plant. If the plant complies with the EPA regulations, the population mean amount of toxic particles in the water is u=50 parts per million (ppm). Each day, the EPA selects 36 water samples and computes the average amount of toxic particles, and then uses this information to determine if they should conclude that the population mean amount of toxic particles is greater than 50 ppm. If so, the owner of the plant will be fined, Use the hypotheses Ho: us50 ppm. and H,: u>50 ppm. Due to a change in the personnel responsible for monitoring the quality of the plant's waste water, the population mean amount of toxic particles in the water during a given month is u=54.16 ppm. with o=8 ppm. If the EPA is using a sample mean of 51.96, what is the probability that on a given day this month, the average amount of toxic particles determined from 64 water samples will not result in the plant being fined? 0139 9861 025 975 028
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