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Solve both parts hand written and show work 2. The ultimate tensile strength of steel is being tested by a mechanical engineer. He testes 4-2

Solve both parts hand written and show work

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2. The ultimate tensile strength of steel is being tested by a mechanical engineer. He testes 4-2 specimens and obtains sample mean and variance are 420 MPa and 100 MPa, respectively. (a) What is the 10: = 90% two-side condence interval of the mean ultimate tensile strength? (10 points) (b) How many additional tests are needed to cut the condence interval width in part (a) by half'? (10 points)

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