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A car manufacturer tested the gap between the doors and the body of a new car using 1 8 samples in millimeters as shown: 1

A car manufacturer tested the gap between the doors and the body of a new car using 18 samples in millimeters as shown: 1.7,1.9,1.4,1.4,1.5,1.7,1.1,1.6,1.9,1.4,1.5,1.5,1.6,1.5,1.3,1.8,1.6, and 1.2.
a) Determine the sample mean and standard deviation. KU-4
b) Calculate the z-score of a door with a gap of 1.7mm and explain the result. A-1,C-1
c) Calculate the z-score of a door with a gap of 1.1mm and explain the result. A-1,C-1
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d) The manufacturer rejects any cars with door gaps that are not within two standard deviations of the mean. Which cars would be rejected? [T/I -2]
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