A medical tech uses a pair of four-inch-long tweezers to remove a wood splinter from a patient. The technician is applying 1 lb of squeezing force (Effort Force) to the tweezers. If more than 1/5 lb of force is applied (Force Resistance) to the splinter (“load”), it will break and become difficult to remove. Assuming an ideal effort force, calculate how far from the fulcrum the tweezers must be held to avoid damaging the splinter.

(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.)