How do i solve this problem? you drive your car on a cold day (20^of outside) the engine overheats to about (220^of). when you park the car the engine begins to cool down. the temperature t of the engine t minutes after you park satisfies the equation:
ln (t-20/200) = - 0.11t
(a) solve the equation for t
t=
(b) use part of (a) to find the temperature of the engine after 20 min ( t = 20). round the answer to 1 decimal place
t= f

(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.)