Two machines are filling packages. Fifty samples from the first machine find a sample mean of 4.53 kilograms, and ninety samples from the second machine have a sample mean of 4.01 kilograms. The population standard deviation of the first machine is 0.80 kilograms, and the population standard deviation of the second machine is 0.60 kilograms. Test the claim that the machines are filling packages equally.

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