Which graph has a slope of 13?
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Yes it is true that commercial truck owners violate laws requiring front license plates at a higher rate than owners of passenger cars because null hypothesis is rejected.
Given among 2049 Connecticut passenger cars, 239 had only rear license plates. Among 334 Connecticut trucks, 45 had only rear license plates.
let be the probability that commercial cars have rear license plates and
be the probability that connected trucks have rear license plates.
Cars Trucks Total
Total 2049 334 2383
x 239 45 284
p 0.1166 0.1347 0.1191
α=0.05
Hypothesis will be :
It is a left tailed test at 0.05 significance.
Standard errors of p=
=
=
=0.0066
Test statistic Z=p difference/standard error
=(0.1166-0.1347)/0.0066
=-0.0181/0.0061
=-2.967
p value=0.001505<5%
Since p is less than 5% we reject null hypothesis.
We cannot calculate standard deviation so we cannot calculate confidence interval.
Hence there is statistical evidence at 5% significance level to support that commercial truck owners violate laws requiring front license plates at a higher rate than owners of passenger cars.
Learn more about z test at brainly.com/question/14453510
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The volume is the scalar triple product of the direction vectors from the first point to the others. That is computed as the magnitude of the determinant of the matrix of vector values.
a = (-1, -12, 4) - (5, -5, -1) = (-6, -7, 5)
b = (11, -9, -3) - (5, -5, -1) = (6, -4, -2)
c = (0, 2, -3) - (5, -5, -1) = (-5, 7, -2)
Then |(a×b)•c| is
The volume is 176 cubic units.