A quality assurance (QA) inspector periodically examines the output of a machine to determine whether it is properly adjusted. When it set properly, the machine produces nails having a mean length of 2.000 inches, with a standard deviation of 0.070 inches. For a sample of 35 nails, the mean length is 2.025 inches. Using the 0.05 level of significance, examine the null hypothesis that the machine is adjusted properly. (You may use critical value method or p-value method to examine the hypothesis.)

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