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Assume that the length X in minutes of a regular season NBA game is normally Distributed with X~N (µX, σ2X); and similarly the Y in minutes of an NBA playoff game is also normally distributed with Y~N (µY, σ2Y)
Six recent regular season games took 98, 100, 95, 120, 103, and 114 minutes
(∑ xi = 630 and sX2 = 100). Four very recent playoff games took 98, 122, 106, and 118 minutes (∑ yi = 444 and sY2 = 121.3).
a. Assuming σ2X and σ2Y are unknown but the same test H0: µX = µY versus H1: µX ≠ µY at the α = 0.10 level of significance.
b. Test, with α = 0.10 the assumption that σ2X = σ2Y.
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