Reective Paint: The highway department is testing two types of reecting paints for concrete bridge and pillars. The two kinds of paint are alike in every respect except that one is orange and the other is yellow. The orange paint is applied to 12 bridges and the yellow paint is applied to 12 bridges. After a period of 1 year. reectometer readings were made on all these bridges and pillars. {A higher reading means better visibility). The following results were obtained: Orange Paint Yellow Paint sample mean= 9. 4 sample mean= s. 9 Based on these data. can we conclude that the orange paint has better visibility after 1 year? Use a 1% signicance level. Let: pl = population mean visibility reading of the orange paint and p2 = population mean visibility reading of the yellow paint Perform the hypothesis test, using the 5-step process: a} Let Ho: pl = H3. State H1 in symbols and in words in the context of the problem. Identify which hypothesis is the claim and determine the type of test {right-tail. left-tail. ova tail}. bl Determine the critical value and label it -- for example. 2 = 1.965: ort = 2.421, etc}. c] Compute the test value. If you are using the p-value method, then include the p-value of the test. d} Make the decision to Reject Ho or DC! not reject Ho. e} tate your complete conclusion in the context of the claim