The deflection temperature under load for two different types of plastic pipe is being investigated. Two random samples of 15 pipe specimens are tested, and the deflection temperatures observed are as follows (in ∘F):
Type 1 214 196 213 195 202 201 215 193 197 221 200 218 202 186 213
Type 2 186 206 215 210 189 185 194 209 206 201 207 197 198 212 201
(a) Do the data support the claim that the deflection temperature under load for type 1 pipe exceeds that of type 2? In reaching your conclusions, use α=0.05. Suppose that the hypotheses are H0 :μ 1 −μ 2 =0
versus H 1:μ1−μ 2 >0
Calculate a P-value. Use lower and upper bounds for the P-value.
Select the correct conclusion.
O There is sufficient evidence to conclude that the mean deflection temperature under load for type 1 exceeds the mean for type 2 at the 0.05 level of significance.
O There is insufficient evidence to conclude that the mean deflection temperature under load for type 1 exceeds the mean for type 2 at the 0.05 level of significance.
