1 1. The scores on a standardized test that Jeremy took were normally distributed with a mean of 82 and a standard deviation of 5. On the test, Jeremy scored a 90. (a) What percent of students scored better than Jeremy on this test? Round to the nearest tenth of a percent. (b) If 105 students took the test, how many students scored less than Jeremy? Round to the nearest whole number. 12. Charlie's Automotive Dealership is considering implementing a new check-in procedure for customers who are bringing their vehicles for routine maintenance. The dealership will launch the procedure if 50% or more of the customers give the new procedure a favorable rating when compared to the current procedure. The dealership devises a simulation based on the minimal requirement that 50% of the customers prefer the new procedure. Each dot on the graph below represents the proportion of the customers who preferred the new check-in procedure, each of sample size 40, simulated 100 times. Mean = 0.506 SD = 0.078 ..........so ........... 0.30 0.35 0.40 0.45 0.50 0.5 0.60 0.65 0.70 Proportion Preferring New Procedure Assume the set of data is approximately normal and the dealership wants to be 95% confident of its results. Determine an interval containing the plausible sample values for which the dealership will launch the new procedure. Round your answer to the nearest hundredth. Forty customers are selected randomly to undergo the new check-in procedure and the proportion of customers who prefer the new procedure is 32.5%. Should the dealership implement the new check-in procedure based on the results of the study? Use statistical evidence to explain your