Part B: Application [24 Marks] 1. The following set of data represents the fuel consumption (litres per 100 km) of 6 cars under test conditions: 10,11,11,12,13,15 a). Determine, by hand, showing your substitutions into an appropriate formula, the value of the: [5] [2] i). mean ii). standard deviation b). Find the z-score for a fuel consumption of 12.8 (litres per 100 km). 2. For the distribution X~(6,22) determine the percent of the data that is within the given interval. a) X <4 b) 4 Part C: Thinking/Inquiry [8 Marks] 1. Alexa earned a score of 210 on Exam A that had a mean of 350 and a standard deviation of 50. She is about to take Exam B that has a mean of 40 and a standard deviation of 5. How well must Alexa score on Exam B in order to do equivalently well as she did on Exam A? Assume that scores on each exam are normally distributed. [4] 2. On a test that has a normal distribution, a score of 40 falls three standard deviations above the mean, and a score of 30 falls two standard deviations below the mean. Sketch this distribution and determine the mean of this test. [2] 3. Explain this "love letter". Why is it complimentary? (Norm is a synonym for 'mean' or 'average') [2] Savage Chickens YOU'RE THREE STANDARD DEVIATIONS ABOVE THE NORM UMTHANKS? 2009 BY DONG SAVAGE LOVE LETTER FROM A STATISTICIAN