Example: A product developer is interested in reducing the drying time of a primer paint. Two formulations of the paint are tested; formulation 1 is the standard chemistry, and formulation 2 has a new drying ingredient that should reduce the drying time. From experience, it is known that the standard deviation of drying time is 8 minutes, and this inherent variability should be unaffected by the addition of the new ingredient. Ten specimens are painted with formulation 1, and another 10 specimens are painted with formulation 2; the 20 specimens are painted in random order. The two sample average drying times are 121 minutes and 112 minutes, respectively. What conclusions can the product developer draw about the effectiveness of the new ingredient, using a-0.05?
Example: A product developer is interested in reducing the drying time of a primer paint. Two formulations of the paint are tested; formulation 1 is the standard chemistry, and formulation 2 has a new drying ingredient that should reduce the drying time. From experience, it is known that the standard deviation of drying time is 8 minutes, and this inherent variability should be unaffected by the addition of the new ingredient. Ten specimens are painted with formulation 1, and another 10 specimens are painted with formulation 2; the 20 specimens are painted in random order. The two sample average drying times are 121 minutes and 112 minutes, respectively. What conclusions can the product developer draw about the effectiveness of the new ingredient, using a-0.05?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Example:
A product developer is interested in reducing the drying time of a primer
paint. Two formulations of the paint are tested; formulation 1 is the standard
chemistry, and formulation 2 has a new drying ingredient that should reduce the
drying time. From experience, it is known that the standard deviation of drying
time is 8 minutes, and this inherent variability should be unaffected by the
addition of the new ingredient. Ten specimens are painted with formulation 1,
and another 10 specimens are painted with formulation 2; the 20 specimens are
painted in random order. The two sample average drying times are 121 minutes
and 112 minutes, respectively. What conclusions can the product developer
draw about the effectiveness of the new ingredient, using a-0.05?
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