Question

141

What is the test statistic?

A manufacturer of automobile products has developed a new wax and is interested in comparing the new wax with their standard wax to determine if the new wax will protect a car for a longer period of time. In order to make a comparison, both waxes are applied to five new cars respectively and exposed to the same environmental conditions. The results of the test are: Standard Wax New Wax ni = 5 n2 = 5 X1 = 86.80 hours of effectiveness 2 = 92.40 hours of effectiveness si = 2.88 hours S2 = 2.49 hours

Answer 1

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Giren for Standard wax, ns: S, Xi = 81.80, St = 2.88 for now wax, h₂ = S, X = 92.40, § = 2:49. s Test stalistic % - sh the s? (n-1) S² + (ha-tys, 2 (41)+2-1) 4X(2-88)² + 4X (2.4912 8 3²= 8.022 s: 2.832 Ta 86.8 - 92.4 2.832x/3 + } TE - 3-127 - 5.6 1.791 3.127