Prob. Two alloys A and B are being used to manufacture a certain steel product. An experiment needs to be designed to compare the two in terms of maximum load capacity in tons (the maximum weight that can be tolerated without breaking). It is known that alloy A has a mean load capacity of 49.5 and standard deviation of 4, whereas alloy B has a mean load capacity of 45.5 with standard deviation 5. An experiment is conducted in which 36 specimens of alloy A and 49 specimens of alloy B are tested. What is the probability that the sample mean load capacity of alloy A exceeds the sample mean load capacity of alloy B by at most 5.5 tons?

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Prob.
Two alloys A and B are being used to manufacture a certain steel product.
An experiment needs to be designed to compare the two in terms of maximum load capacity in
tons (the maximum weight that can be tolerated without breaking). It is known that alloy A has a
mean load capacity of 49.5 and standard deviation of 4, whereas alloy B has a mean load capacity
of 45.5 with standard deviation 5. An experiment is conducted in which 36 specimens of alloy A
and 49 specimens of alloy B are tested. What is the probability that the sample mean load capacity
of alloy A exceeds the sample mean load capacity of alloy B by at most 5.5 tons?
Transcribed Image Text:Prob. Two alloys A and B are being used to manufacture a certain steel product. An experiment needs to be designed to compare the two in terms of maximum load capacity in tons (the maximum weight that can be tolerated without breaking). It is known that alloy A has a mean load capacity of 49.5 and standard deviation of 4, whereas alloy B has a mean load capacity of 45.5 with standard deviation 5. An experiment is conducted in which 36 specimens of alloy A and 49 specimens of alloy B are tested. What is the probability that the sample mean load capacity of alloy A exceeds the sample mean load capacity of alloy B by at most 5.5 tons?
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