An experiment was performed to compare the abrasive wear of two different laminated materials. Twelve pieces of material 1 were tested by exposing each piece to a machine measuring wear. Ten pieces of material 2 were similarly tested. In each case, the depth of wear was observed. The samples of material 1 gave an average (coded) wear of 85 units with a sample standard deviation of 4, while the samples of material 2 gave an average of 81 with a sample standard deviation of 5. Can we conclude at the 0.05 level of significance that the abrasive wear of material 1 exceeds that of material 2 by more than 2 units? Assume the populations to be approximately normal with equal variances. [Use tabulated t = 1.725] Decision: we reject HO and conclude that the abrasive wearof material 1 exceeds that of material 2 by more than 2 units

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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An experiment was performed to
compare the abrasive wear of two
different laminated materials. Twelve
pieces of material 1 were tested by
exposing each piece to a machine
measuring
wear.
Ten
pieces
of
material 2 were similarly tested. In
each case, the depth of wear was
observed. The samples of material 1
gave an average (coded) wear of 85
units
with
a
sample
standard
deviation of 4, while the samples of
material 2 gave an average of 81
with a sample standard deviation of
5. Can we conclude at the 0.05 level
of significance that the abrasive
wear of material 1 exceeds that of
material 2 by more than 2 units?
Assume
the populations
to
be
approximately normal with equal
variances. [Use tabulatedt = 1.725]
Decision:
we
reject
HO and conclude that the
abrasive wearof material 1
exceeds that of material 2 by
more than 2 units
Transcribed Image Text:An experiment was performed to compare the abrasive wear of two different laminated materials. Twelve pieces of material 1 were tested by exposing each piece to a machine measuring wear. Ten pieces of material 2 were similarly tested. In each case, the depth of wear was observed. The samples of material 1 gave an average (coded) wear of 85 units with a sample standard deviation of 4, while the samples of material 2 gave an average of 81 with a sample standard deviation of 5. Can we conclude at the 0.05 level of significance that the abrasive wear of material 1 exceeds that of material 2 by more than 2 units? Assume the populations to be approximately normal with equal variances. [Use tabulatedt = 1.725] Decision: we reject HO and conclude that the abrasive wearof material 1 exceeds that of material 2 by more than 2 units
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