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 σ=0.4σ=0.4 degrees Celsius.  You test a random sample 16 shift registers, and you record the following shut-down temperatures. Construct a 80% confidence interval for the overall mean shutdown-temperature.   175.61 175.44 175.24 175.49 174.57 175.44 174.67 175.72 175.3 175.65 174.83 175.29 175.13 175.05 174.74 174.8     (Sum of data values = 2802.97) a) Find the critical value and σ¯xσx¯ . Round your answers to 3 decimal places. Critical Value:      σ¯xσx¯ :  b)  Find the confidence interval, rounded to 2 decimal places:  (,)

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