Is the difference between the mean annual salaries of registered nurses in New Jersey and Delaware equal to $10,000? To decide, you select a random sample of registered nurses from each state. The results of each survey are shown in the figure. Assume the population standard deviations are σ₁ = $8345 and σ₂ = $7620. At α = 0.01, what should you conclude?

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Registered nurses in New Jersey Registered nurses in Delaware Ti # $75.820 1 32 2 $70,820 2-30