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Two machines are compared according to efficiency - the number of output per hour. The following are the data: Machine 1: 4 5 6 4

Two machines are compared according to efficiency - the number of output per hour. The following are the data:

Machine 1: 4 5 6 4 8 7 4 7 5

Machine 2: 7 7 5 6 4 9 6 6

1. Is there statistical evidence that the output variance of machine 1 is less than that of machine 2? Prove the hypothesis using 5% level of significance. (Answer Yes or No.)

2. Is there a statistical evidence that hourly mean output of machine 1 is greater than that of machine 2? Prove the hypothesis using 10% level of significance. (Answer Yes or No.)

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