Due mBlue Bok P1: A chip manufacturer has just built a new automated plant to make its major seller. The new equipment is expected to perform better (have longer life-time to failure properties). Hewever, the exact properties are not known. The decision is to choose a random sample of the new chips and run them under operating conditions until they fail. Your job is to determine the number of chips to use for the test. assuming the following two conditions: 1. We know from extensive life-time to failure studies of chips from the old plant has shown that the variance in failure rates is 4 months, so that the new plant should have at least as good a failure rate. Thus, we can use this value (as the minimum variance). We want P X- .05. Find the smallest value ofn that would make this possible. What is your confidence level? PX-2e 2. Assume that, whatever the unknown variance is, we want .01. Х Find the smallest value of n. What is your confidence level? P2. The (scaled) failure data from an overseas supplier for sensors used in made available to your company to study and determine if this product is better then yours (see below). There are forty data points. Compute the sample mean, sample variance and plot the graph. Does the graph look like its getting close to a normal distribution? submarines is navy 4.1 1.8 3.2 1.9 4.6 2.0 4.5 3.9 4.3 2.3 3.8 1.9 4.6 1.8 4.7 1.8 4.6 1.9 3.5 4.0 4.1 3.7 3.7 4.3 3.6 3.8 3.8 3.8 2.5 4.5 3.7 3.8 3.4 4.0 2.3 4.4 4.1 4.3 3.3 2.0