A restaurant manager is designing a system that is intended to decrease the variance of the time customers wait before their meals are served. Under the old system, a random sample of 10 customers had a variance of 400. Under the new system, a random sample of 21 customers had a variance of 256.
At a = 0.10, is there enough evidence to convince the manager to switch to the new system? Assume both populations are normally distributed.
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