51 Refer to Example 12 12 in which x volume fraction of oxides inclusions and y elongation a MINITAB gave s 0 1( 40) 0311 and s 0 1(1 20) 0352 Why is the former estimated standard deviation smaller than the latter one b Use the MINITAB output from the example to calculate a 95 CI for expected elong...

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51. Refer to Example 12.12 in which x volume fraction of oxides/inclusions and y %...

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51. Refer to Example 12.12 in which x volume fraction of oxides/inclusions and y % elongation.

a. MINITAB gave sˆ

0ˆ

1(.40) .0311 and sˆ

0ˆ

1(1.20) .0352.

Why is the former estimated standard deviation smaller than the latter one?

b. Use the MINITAB output from the example to calculate a 95% CI for expected % elongation when volume fraction .40.

c. Use the MINITAB output to calculate a 95% PI for a single value of % elongation to be observed when volume fraction 1.20.

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