Intro Stats Practice Question: Show Work Machine A or Machine B? At the JB (Just

Question

Intro Stats Practice Question: Show Work

Machine A or Machine B? At the JB (Just Bolts) factory there are two machines operating next to each other. Machine A makes 15 mm bolts and Machine B makes 14 mm bolts. Each machine produces bolts whose lengths vary normally around their target mean length with a standard deviation of 0.5 mm. Ho: Bolt was made by Machine A whose model for bolt length (in mm) is N(15,0.5) 13.5 14 1415 15 15.5 16 16.5 Bolt Length (mm) Reject Ho Ha: Bolt was made by Machine B whose model for bolt length (in mm) is N(14,0.5) 12.5 13 13.5 14 14.5 15 15.5 Bolt Length (mm) When a bolt is found on the floor in between these two machines, the operator uses the following decision rule to determine which bin to throw that bolt into: Reject Ho (and conclude the bolt was made by Machine B) if the length of the bolt is 14.5 mm or shorter. Hint: For parts (a), (c), (e), think of what is stated to be the "truth" (which machine actually made the bolt), and that will tell you which distribution to work with. And you will want to use the Empirical Rule when possible to find some of the probabilities.

Explanation / Answer

Solution :

  2. a 0.16

2. c 0.84

   2. e 0.025

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