You work for a company that produces electronics with integrated circuits. One of your products is called a "shift register." This product is designed to automatically shut down if its operating temperature exceeds 175 degrees Celsius. The manufacturing process has been designed to have a standard deviation of 'sigma=0.4' degrees Celsius. You test a random sample 17 shift registers, and you record the following shut-down temperatures. Construct a 80% confidence interval for the overall mean shutdown-temperature. 175.18 175.32 175 174.33 175.44 174.83 174.24 174.96 174.89 174.3 175.2 174.79 174.37 175.65 174.78 174.89 175.37 (Checksum: 2973.54) a) Find the critical value and *\\sigma_\\bar{x] . Critical Value: "\\sigma_\\bar(x]' : b) Find the confidence interval