solve the following worded problems. Follow the steps of hypothesis testing

Direction: Solve the following worded problems. Follow the steps of hypothesis testing. Part 1. Z - Test 25 points 1. A study claimed that the competence of Engineers is described as Likert Scale moderately competent having an average performance rate of Verbal Interpretation Scale 4.02 (based in the Likert Scale on side). A researcher-engineer Highly Competent 4.21 - 5.00 would like to test this claim by surveying randomly selected 55 Moderately Competent 3.41 - 4.20 engineers from a company consisting of 110 engineers. The Competent 2.61 - 3.40 researcher found out that the mean performance of 55 engineers Fairly Competent 1.81 - 2.60 is 3.35 having a standard deviation of 0.3519. Is there enough Noy Yet Competent 1.00 - 1.80 evidence to support the claim that the competence of engineers is different from 4.02 using 0.01 significant level