The highway department is testing two types of reflecting paint for concrete bridge end 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, reflectometer readings were made on all these bridge end pillars. (A higher reading means better visibility.) For the orange paint, the mean reflectometer reading was x1 = 9.4, with standard deviation s1 = 2.5. For the yellow paint the mean was x2 = 7.1, with standard deviation s2 = 2.4. Based on these data, can we conclude that the yellow paint has less visibility after 1 year? Use a 1% level of significance. What is the value of the sample test statistic? (Test the difference μ1 − μ2. Round your answer to three decimal places.)
The highway department is testing two types of reflecting paint for concrete bridge end 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, reflectometer readings were made on all these bridge end pillars. (A higher reading means better visibility.) For the orange paint, the mean reflectometer reading was x1 = 9.4, with standard deviation s1 = 2.5. For the yellow paint the mean was x2 = 7.1, with standard deviation s2 = 2.4. Based on these data, can we conclude that the yellow paint has less visibility after 1 year? Use a 1% level of significance.
What is the value of the sample test statistic? (Test the difference μ1 − μ2. Round your answer to three decimal places.)
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