Atlas Sporting Goods has implemented a special trade promotion for its propane stove and feels that the promotion should result in a price decrease for the consumer. Atlas knows that before the promotion began, the average retail price (µ) of the stove was $44.95, and the standard deviation (σ) was $5.75. Atlas samples 25 of its retailers after the promotion begins and finds the mean price for the stoves (x̄) is now $42.95. At a 0.02 significance level, does Atlas have reason to believe that the average retail price to the consumer has decreased?
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