(Step-by-Step) Paint Prices Two large home improvement stores advertise that they sell their paint at the same average price per gallon. A random sample of


Question: Paint Prices Two large home improvement stores advertise that they sell their paint at the same average price per gallon. A random sample of 25 cans from store \(\mathrm{Y}\) had a standard deviation of $5.21, and store \(Z\) had a standard deviation of $4.08 based on a sample of 20 cans. At \(\alpha=0.05\) can we conclude that the variances are different? How much less would store Z's standard deviation have to be in order to conclude a difference?

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