A factory that manufactures screws is performing a quality control experiment. Each object should have a length of no more than 13 centimeters. The factory believes that the length of the screws is less than this value and measures the length of 63 screws. The sample mean screw length was 12.99 centimeters. The population standard deviation is known to be a = 0.12 centimeters. What is the null hypothesis? What is the alternative hypothesis?

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