Weights of Vacuum CleanersUpright 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 21 20 16 20 17 17 13 15. 23 16 18 18 17 17 16 17 15

Soft body types 24 24 13 11 13 12 15 14

State the hypotheses and identify the claim with the correct hypothesis.

Find theP-value. Round your answer to at least four decimal places.

Make the decision.

Summarize the results.