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In: Statistics and Probability

A sample of 10 employee’s height is taken to design the height of doorway. The measurements...

A sample of 10 employee’s height is taken to design the height of doorway. The measurements (in cm) are in the following table

167.87

153.24

150.39

173.38

177.91

155.88

171.06

155.57

171.43

178.62

What should be the height of the doorway if you want that just a 0.1% of the employees have troubles passing through it?

You think that the initial 10-employee sample is too small and you want to ensure a confidence level of 97% with an error in the observed mean of +/-2 percent. What would be the size of the proposed sample?

What should be the correct distribution you use to calculate the size of the sample? Why?

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