Two new machines for producing tires have been proposed by a worker in a manufacture. The manufacture believes there will be no difference in the strength of tires produced by these machines. To test this hypothesis, a sample of 9 tires produced by machine 1 and 7 tires produced by machine 2 were randomly selected. It is known from previous experience that the strength of a tire produced using machine 1 is a normal random variable with standard deviation equals to 3. And the strength of a tire produced using machine 2 is also a normal random variable with standard deviation equals to 4. use the following information to answer the following questions: Machine 1 Machine 2 6.5 1.0 6.7 2.5 5.8 3.2 4.9 3.1 5.3 4.5 4.0 5.7 3.1 1.5 5.7 4.3 i. Find the estimated difference mean strength of tires produced using both machines [ X1-X2) . O0.06 ONone of these O-2.18 02.07 O-0.25

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Two new machines for producing tires have
been proposed by a worker in a manufacture.
The manufacture believes there will be no
difference in the strength of tires produced by
these machines. To test this hypothesis, a
sample of 9 tires produced by machine 1 and 7
tires produced by machine 2 were randomly
selected. It is known from previous experience
that the strength of a tire produced using
machine 1 is a normal random variable with
standard deviation equals to 3. And the
strength of a tire produced using machine 2 is
also a normal random variable with standard
deviation equals to 4. use the following
information to answer the following questions:
Machine 1Machine 2
6.5
1.0
6.7
2.5
5.8
3.2
4.9
3.1
5.3
4.5
4.0
5.7
3.1
1.5
5.7
4.3
i. Find the estimated difference mean strength
of tires produced using both machines [
X1-X2] .
O0.06
ONone of these
O-2.18
O2.07
O-0.25
Transcribed Image Text:Two new machines for producing tires have been proposed by a worker in a manufacture. The manufacture believes there will be no difference in the strength of tires produced by these machines. To test this hypothesis, a sample of 9 tires produced by machine 1 and 7 tires produced by machine 2 were randomly selected. It is known from previous experience that the strength of a tire produced using machine 1 is a normal random variable with standard deviation equals to 3. And the strength of a tire produced using machine 2 is also a normal random variable with standard deviation equals to 4. use the following information to answer the following questions: Machine 1Machine 2 6.5 1.0 6.7 2.5 5.8 3.2 4.9 3.1 5.3 4.5 4.0 5.7 3.1 1.5 5.7 4.3 i. Find the estimated difference mean strength of tires produced using both machines [ X1-X2] . O0.06 ONone of these O-2.18 O2.07 O-0.25
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