A factory that manufactures screws is performing a quality control experiment. Each object should have a length of no more than 19 centimeters. The factory believes that the length of the screws exceeds this value and measures the length of 65 screws. The sample mean screw length was 19.04 centimeters. The population standard deviation is known is known to be 0.19 centimeters. What is the null hypothesis and what is the alternative hypothesis?

A factory that manufactures bolts is performing a quality control experiment. Each object should have a length of no more than  11 centimeters. The factory believes that the length of the bolts exceeds this value and measures the length of 76 bolts. The sample mean bolt length was 11.09 centimeters. The population standard deviation is known to be 0.29 centimeters.

What is the test statistic ?

What is the -value?

Does sufficient evidence exist that the length of bolts is actually greater than the mean value at a significance level of

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step-by-step explanation: