Answer to Question #225540 in Statistics and Probability for mehtab

Question

Consider the following data set, in which shrinkage is measured once again at low injection velocity and high injection velocity. However, this time the mold temperature is raised to a high level and held constant.

Shrinkage values at low injection velocity:

76.20 76.09 75.98 76.15 76.17 75.94 76.12 76.18 76.25 75.82

Shrinkage values at high injection velocity:

93.25 93.19 92.87 93.29 93.37 92.98 93.47 93.75 93.89 91.62

(a)Check the distributions of the data

Answer 1

Using R

(a) The output from the shapiro.test( ) function suggests that the shrinkage values at low injection velocity dataset is normally distributed (p = 0.2675 > 0.05) while the results for shrinkage values at high injection velocity suggest that these dataset are not normally distributed (p ≤ 0.05).