Question: A sample of 80 steel wires produced by factory A yields a mean breaking strength of 1230 pounds, with a standard deviation of 120 pounds. A sample of 100 wires of factory B yields a mean breaking strength of 1190 pounds and a standard deviation of \(90 \mathrm{lbs}\)

1. Verify that, for this problem, \(Z^{*}=2.48\)
2. Is there a real difference in mean strengths of the two makes of steel wires at: \(\alpha=0.05 ? \alpha=0.01 ?\)

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