Question: Coil winding machines. A plant contains a large number of coil winding machines. A production analyst studied a certain characteristic of the wound coils produced by these machines by selecting four machines at random and then choosing 10 coils at random from the day's output of each selected machine. The results follow.

Assume that ANOVA model \((25.1)\) is appropriate.

1. Test whether or not the mean coil characteristic is the same for all machines in the plant; use \(\alpha=.10\). State the alternatives, decision rule, and conclusion. What is the \(P\) -value of the test? Use SAS.
2. Estimate the mean coil characteristic for all coil winding machines in the plant; use a 90 percent confidence interval.

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