Sambuca juice, inc. makes donations, pays taxes, and gives employee bonuses from the company's annual income. the donations budget is 5% of the company's income. taxes represent 12% of the income after deducting donations. the bonus is set to be 14% of the income after deducting both donations and income taxes. the company wants to spend $75,000 on bonuses. how much annual income do they need to generate?

(b) suppose that consolidated power decides to use a level of significance of α = .05, and suppose a random sample of 100 temperature readings is obtained. if the sample mean of the 100 temperature readings is x⎯⎯ = 60.990, test h0 versus ha and determine whether the power plant should be shut down and the cooling system repaired. perform the hypothesis test by using a critical value and a p-value. assume σ = 5. (round your z to 2 decimal places and p-value to 4 decimal places.)