*BONUS QUESTION* Felix is a quality control expert at a fact…
*BONUS QUESTION* Felix is a quality control expert at a factory that paints car parts. Their painting process consists of a primer coat, color coat, and clear coat. For a certain part, these layers have a combined target thickness of over 150 microns, on average. Felix measured the thickness of 40 randomly selected points on one of these parts to see if it was painted properly. His sample had a mean thickness of 147 microns and the population standard deviation of 3.3 microns. The sample histogram shows a symmetric, bell-shaped curve and the chosen significance level is 4% . Answer the questions below. For full credit, you must include all of the following in the space provided: 1) The appropriate confidence interval. Round your final answers to two decimal places. 2) Write a sentence interpreting your interval. 3) Based on your interval, is it plausible that this part’s average thickness is meeting the target value? Why or why not? (This does not need to be more than 1-2 sentences.)
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