It is known from the long time experience that the strength of steel wire made by an existing process has a mean of 1250 and a standard deviation of 200. A batch of wire is made by a new process, and a random sample consisting of 36 measurements gives an average strength of 1312. Assume that the standard deviation does not change. At the 5% level of significance, use the hypothesis testing to test if we should believe that the new process gives a larger mean strength than the old.

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