Consider a game in which players roll a number cube to determine the number of points earned. if a player rolls a prime
number, that many points will be added to the player's total. any other roll will be deducted from the player's total. what is
the expected value of the points earned on a single roll in this game?
a. -5/6
b.-1/6
c. 1/6
d. 5/6

(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.)