Carbon-141414 is an element which loses 10\%10%10, percent of its mass every 871871871 years. The mass of a sample of carbon-141414 can be modeled by a function, MMM, which depends on its age, ttt (in years).
We measure that the initial mass of a sample of carbon-141414 is 960960960 grams.
Write a function that models the mass of the carbon-141414 sample remaining ttt years since the initial measurement.

(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.)