What would be the consequence of a Type II error in this setting?

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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Regulations from the Environmental Protection Agency say that soil used in play areas should not have lead
levels that exceed a 400 parts per million (ppm). Before beginning construction at a new site, an agent will take a
sample of soil and run a significance test on the mean lead level in the soil. If the mean lead level in the sample is
significantly higher than 400 ppm, then the soil is deemed unsafe and construction cannot continue. Here are
the hypotheses for this test:
Ho : µ< 400 ppm (soil is safe)
Ha : µ > 400 ppm (soil is unsafe)
(where u is the mean lead level in the soil at the new site).
What would be the consequence of a Type II error in this setting?
Transcribed Image Text:Regulations from the Environmental Protection Agency say that soil used in play areas should not have lead levels that exceed a 400 parts per million (ppm). Before beginning construction at a new site, an agent will take a sample of soil and run a significance test on the mean lead level in the soil. If the mean lead level in the sample is significantly higher than 400 ppm, then the soil is deemed unsafe and construction cannot continue. Here are the hypotheses for this test: Ho : µ< 400 ppm (soil is safe) Ha : µ > 400 ppm (soil is unsafe) (where u is the mean lead level in the soil at the new site). What would be the consequence of a Type II error in this setting?
Construction continues when the soil is actually safe.
Construction stops when the soil is actually safe.
Construction continues when the soil is unsafe.
D.
Construction stops when the soil is actually unsafe.
Transcribed Image Text:Construction continues when the soil is actually safe. Construction stops when the soil is actually safe. Construction continues when the soil is unsafe. D. Construction stops when the soil is actually unsafe.
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