Arsenic blood concentrations in healthy people are Normally distributed with mean µ = 3.2 µg/dl and standard deviation o = 1.5 µg/dl. Some areas are known to have naturally elevated concentrations of arsenic in the ground and water supplies. (a) We seek proof against the claim that u = 3.2. If the claim is true, what is the sampling distribution of the mean blood arsenic concentration x in many samples of 25 adults? (N(_,_).) Sketch the density curve of this distribution. (Sketch a Normal curve, then mark the axis using what you know about finding the mean and standard deviation on a Normal curve.) (b) Assume the first sample's data gives x = 3.35 ug/dl. Mark this point on the axis of your sketch. Assume the second sample gives x = 3.75 µg/dl. Mark this point on your sketch. (c) The sample mean x =. the right tail of the curve when the sample mean x %3D %3D lies far out towards lies close to the centre. If the population mean is µ, finding a value similar would not be too surprising, but x = is much less likely, implying that µ = to x =

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Arsenic blood concentrations in healthy people are
Normally distributed with meanµ = 3.2 µg/dl and standard
deviation o = 1.5 µg/dl. Some areas are known to have
naturally elevated concentrations of arsenic in the ground
and water supplies.
(a) We seek proof against the claim that u = 3.2. If
the claim is true, what is the sampling distribution
of the mean blood arsenic concentration x in
many samples of 25 adults? (N(_,_).) Sketch the
density curve of this distribution. (Sketch a
Normal curve, then mark the axis using what you
know about finding the mean and standard
deviation on a Normal curve.)
(b) Assume the first sample's data gives x = 3.35
ug/dl. Mark this point on the axis of your sketch.
Assume the second sample gives x = 3.75 µg/dl.
Mark this point on your sketch.
(c) The sample mean x =
the right tail of the curve when the sample mean x
lies far out towards
lies close to the centre.
If the population mean is µ, finding a value similar
would not be too surprising, but x =
is much less likely, implying that u =
to x =
%3D
%3D
%3D
Transcribed Image Text:Arsenic blood concentrations in healthy people are Normally distributed with meanµ = 3.2 µg/dl and standard deviation o = 1.5 µg/dl. Some areas are known to have naturally elevated concentrations of arsenic in the ground and water supplies. (a) We seek proof against the claim that u = 3.2. If the claim is true, what is the sampling distribution of the mean blood arsenic concentration x in many samples of 25 adults? (N(_,_).) Sketch the density curve of this distribution. (Sketch a Normal curve, then mark the axis using what you know about finding the mean and standard deviation on a Normal curve.) (b) Assume the first sample's data gives x = 3.35 ug/dl. Mark this point on the axis of your sketch. Assume the second sample gives x = 3.75 µg/dl. Mark this point on your sketch. (c) The sample mean x = the right tail of the curve when the sample mean x lies far out towards lies close to the centre. If the population mean is µ, finding a value similar would not be too surprising, but x = is much less likely, implying that u = to x = %3D %3D %3D
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