Answer the following numerical questions based on the 1. What is the mean value of the resistance of the set of resistors? 2. What is the standard deviation of the resistance of the set of resistors? 3. Show how you would estimate the standard deviation of the mean of the set of the resistors, and then calculate the value. information. Answer the following conceptual questions based on your above results. (Some calculations may be required to answer these questions.) 4. What is the precision of the device you used to measure the resistors? Is the measuring device more or less precise than your measurement of the mean? 5. Quote the expected value of the resistance of the resistors in the box based on your find- ings/measurements. 6. If you were to pull another 30 resistors from the box and determine the mean value of those resistors, over what range of values would you expect to find the mean? Justify your answer. 7. The manufacturer says the resistors should have an average resistance of 30.09. Are your findings consistent with the claims from the manufacturer? Justify your answer. 29.0 29.4 28.90 31.1 29.8 30.5 30.8 31.30 30.00 29.7 30.30 30.1 29.90 30.8 30.50 29.8 29.1 30.00 31.50 31.50 30.99 29.10 29.59 30.7 30.60 30.4 31.40 31.5 29.6 20.1