Identify the null and alternative hypotheses for the following problems. (Enter != for # as needed.) (a) The manager of a restaurant believes that it takes a customer less than or equal to 26 minutes to eat lunch. (Give your hy (b) Economists have stated that the marginal propensity to consume is at least 85c out of every dollar. H₂: (c) It has been stated that 77 out of every 100 people who go to the movies on Saturday night buy popcorn.

4. If g(x) = 3(x-1)² – 4, determine the value of the defendant variable g(3) - 7.

A7. (a) Which of the following statements is true? Select one of the options i. – iv. (dy of the function Y = 4x6 - 3x³ +7x - 5 is equal to The derivative %3D i. 24x6 - 9x3 + 7 ii. 24x5-9x2 +7 ii. 24x5 9x3 + 7 iv. None of the above Given that the demand function is p = 42 -3q , where q represents the output level and p is the price, write down an expression for the total revenue (R) function in terms of q. (b) i. %3D Find the output level which maximises the total revenue function. Note that you need to clearly show that this output level leads to a maximum. ii.