Upright vacuum cleaners have either a hard body type or a soft body type. Shown are the weights in pounds of a sample of each type. At ?= 0.05,can it be concluded that the means of the weights are different? Assume the variables are normally distributed and the variances are unequal.

Hard body types Soft body types 21 20 16 20 24 24 13 11 17 17 13 15 13 12 15 14 23 16 18 18 17 17 16 17 15