Reflective Paint:The highway department is testing two types of reflecting 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, reflectameter readings were made on all these bridges and pillars.(A higher reading means better visibility).The following results were obtained:

Orange paint: Sample mean=9.4

S1=2.1 N1=12

Yellow paint: Sample mean=6.9

s2=2.0 N2=12

Based on these data, can we conclude that the orange paint has better visibility after 1 year?Use a 1% significance level.Let:1=population mean visibility reading of the orange paintand

2=population mean visibility reading of the yellow paint

Perform the hypothesis test, using the 5-step process:

a)Let Ho:1=u2.

State H1 in symbols and in words.Identify which hypothesis is the claim and determine the type of test (right-tail, left-tail, two tail).

b)Determine the critical value and label it --for example, z = 1.96or t = -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 DO not reject Ho.

e)State your complete conclusion in the context of the claim.