A manager claimed that his employees perform better at work with music playing. An experiment was conducted to verify the manager's claim. One day, the music was turned on during working hours with 45 employees. It is found that the mean productivity level is 5.2 with standard deviation of 2.4. On a different day, the music was turned off and there were 40 employees with a mean productivity level of 4.8 and a standard deviation 1.2. Does the experiment support the manager's claim? Use 5% level of significance to solve.
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