The masses of watermelons produced by a farmer are normally distributed with a mean of 3 kg and a standard deviation of 0.65 kg. The farmer decides to use a new organic fertilizer for his crop if the mean of a random sample of 30 watermelons using the new organic fertilizer exceeds k kg. The farmer uses a probability of Type I error equal to 0.01 in making his decision. Determine the value of k.

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