A study claimed that the competence of Engineers is described as moderately competent having an average performance rate of 4.02 (based in the Likert Scale on side). A researcher-engineer would like to test this claim by surveying randomly selected 55 engineers from a company consisting of 110 engineers. The researcher found out that the mean performance of 55 engineers is 3.35 having a standard deviation of 0.3519. Is there enough evidence to support the claim that the competence of engineers is different from 4.02 using 0.01 significant level?

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A: Solution

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