Shakib's chips is worried about experiencing supply chain issues with respect to potato supplies after the recent heavy rain and flood. Therefore, Shakib's chips has reduced the full size of a single pack and intends to produce these chips packs with a mean weight of 75 gram and a standard deviation of 1.2 grams. A sample of 35 chips packs chosen randomly has a mean weight of 74.6 gram. Find the p-value for a test to check whether the chips packs are smaller than the intended weight. Please keep your answer to four decimal places.

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