The manager of a local grocery store claims that their customers stay in store for 25 minutes on average. One of the store's suppliers believes the manager overestimates the average visit time. The supplier plans to conduct a test at the 0.1 level of significance by collecting a random sample of 80 customers of this store. The standard deviation of the sample is 13. Determine the Type II error probability if the true average time is 20 minutes. Find the power of the test as well.

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