Television sets for manufacturer A have a mean life of 2.8 years with a standard deviation of 0.4 years. On the other hand, manufacturer B offers television sets that have a mean life of 3.0 years with a standard deviation of 0.6 years. What is the probability that a sample of 22 television sets from manufacturer B will have at least 0.5 years excess life than a sample of 37 television sets from manufacturer A? Provide an interpretation on your result.

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