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A Gaming Control Board Claims That the Average Household Income

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A gaming control board claims that the average household income of those people playing blackjack at casinos is at least $50,000.Assume that the distribution of household income of those people playing blackjack is normally distributed with a standard deviation of $7,559.Suppose that for a sample of 45 households,it is found that the average income was $48,326.Is the gaming control board incorrect in asserting that the average household income of blackjack players is at least $50,000? Use the 10 per cent significance level.

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H0 : μ ≥ 50,000 against H1 : μ < 50,000
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