3 of 3 ID: MST. FET.E.CIMSK.03.0020A [1 mark] WMB is a car manufacturer. The company is trying to estimate the cost of building a particular car part. Specifically, the company would like to construct a 95% confidence interval for the mean cost of building this part. For the purposes of constructing the interval, the company is assuming a particular value for the population standard deviation in this cost. W M You were dozing in the meeting and so you didn't hear what this assumed value for the population standard deviation is. However, you did hear the following information: If the margin of error on the confidence interval is to be $3.42, then a sample size of 161 items is required to construct an interval this precise. You also remember hearing the boss say that the company could easily afford to collect a sample this large. In fact, in the interests of getting a more precise estimate, the company can afford an even larger sample. A quick decision was made to shrink the margin of error to $2.92. However all other parameters of the situation are to remain the same. Based on this information, calculate the required sample size to construct a confidence interval with this smaller margin of error. Round your answer up to the nearest whole number. Required sample size =