PLEASE DO NOT STEAL THE ANSWER, IT IS ANSWER OF ANOTHER QUESTION. DO NOT COPY PASTE, PLEASE!!!!!

A company is producing ball bearings from scrap metal collected from a lathe machine. A heat transfer test is made for an induction furnace while heating chips of a high melting point scrap metal for casting. Temperature of the furnace is measured with a thermocouple of known precision of 5 oC with a large number of measurements. This significance level is related to misrun defects in the cast parts which are rejected. Cost per part rejected is 10$ and the cost per temperature measurement is not known. Determine the relationship between two costs for levels of confidence 95 and 90 % such that the mean temperature will be measured with an uncertainity of 2 oC. Determine the cost of temperature measurement assuming the total cost for both level of confidence is same. Determine the appropriate number of measurements for each significance level.