We have a gantry crane that handles one TEU container in 4 minutes. A new gantry crane developer claims that their machine handles one TEU container in 3 minutes. If this is statistically significant, we will purchase this new machine. We have selected 10 random container handling operation of this machine and tested their difference from the 4 minutes by ONE SAMPLE T TEST in the 5% confidence level. We have found T STAT as -3.323. What are the H0 and Ha for this question? Should we purchase this new machine or not? Why?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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  1. We have a gantry crane that handles one TEU container in 4 minutes. A new gantry crane developer claims that their machine handles one TEU container in 3 minutes. If this is statistically significant, we will purchase this new machine. We have selected 10 random container handling operation of this machine and tested their difference from the 4 minutes by ONE SAMPLE T TEST in the 5% confidence level. We have found T STAT as -3.323.
    1. What are the H0 and Ha for this question?
    2. Should we purchase this new machine or not? Why?
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