Assume that the length x in minutes of a regular season nba, Ask an Expert

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Assume that the length X in minutes of a regular season NBA game is normally Distributed with X~N (µ_X, σ²_X); and similarly the Y in minutes of an NBA playoff game is also normally distributed with Y~N (µ_Y, σ²_Y)

Six recent regular season games took 98, 100, 95, 120, 103, and 114 minutes

(∑ x_i = 630 and s_X² = 100). Four very recent playoff games took 98, 122, 106, and 118 minutes (∑ y_i = 444 and s_Y² = 121.3).

a. Assuming σ²_X and σ²_Y are unknown but the same test H₀: µ_X = µ_Y versus H₁: µ_X ≠ µ_Y at the α = 0.10 level of significance.

b. Test, with α = 0.10 the assumption that σ²_X = σ²_Y.

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