A cable for a panel release on an airplane needs to have a breaking strength greater than 400 pounds. The manufacturer wants to test the cable using the hypotheses H0:μ≤400 and H1:μ>400. A simple random sample of six-inch lengths of the cable are tested in the laboratory. They use the sample mean and standard deviation of the data to calculate the z -score of this test. They get z score of 1.42. Calculate the P -value of this test. Round your answer to four decimal places.
1. A cable for a panel release on an airplane needs to have a breaking strength greater than 400 pounds. The manufacturer wants to test the cable using the hypotheses H0:μ≤400 and H1:μ>400. A simple random sample of six-inch lengths of the cable are tested in the laboratory. They use the sample mean and standard deviation of the data to calculate the z -score of this test. They get z score of 1.42. Calculate the P -value of this test. Round your answer to four decimal places.
2. A certain type of plastic sheeting is supposed to have a true mean thickness of 171 mils. Engineers are testing H0:μ=171 against H1:μ≠171. They take a simple random sample of thickness measurements from the sheeting and get x_=169 and s = 9 mils. Their P -value is 0.2160.
Should they reject their null hypothesis? Why or why not?
Options (Yes/No), because p-value is (high/low). Select 1 option per bracket parentheses.
3. The weld strength of the welds in the cooling system is required to be greater than 175 psi. Naval engineers will measure weld strengths of randomly-selected welds made exactly like those used in the cooling system. They will use their measurements to test the hypothesis H0:μ⩽175 against H1:μ > 175. If they reject their null hypothesis, what should they conclude?
Multiple choice options (pick 1):
1. The true mean strength is not less than 175 psi.
2. The true mean strength is not greater than 175 psi.
3. The true mean strength is greater than 175 psi.
4. The true mean strength is less than 175 psi.
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