Two manufacturers of table-tennis balls have agreed that the quality of their products can be measured by the height to which the balls rebound. A test is arranged, the balls are dropped from a constant height, and the rebound heights are measured. The results (in inches) are shown in the following table. Manufacturer A claims, €œThe results show my product to be superior.€ Manufacturer B replies, €œI know of no statistical test that supports this claim.€

a. What parametric test would be appropriate if we assume rebound heights are normally distributed?
b. Does the parametric test in part a show that A€™s product is superior? Use a 0.05 level of significance.
c. What nonparametric test would be appropriate if we are unsure about the distribution of rebound heights?
d. Does the nonparametric test in part c show that A€™s product is superior? Use a 0.05 level of significance.
e. What do both tests tell you about A€™s claim of a superior product?

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A 14.0 12.5 11.5 12.2 124 12.3 11.8 19 13.7 13.2 В 12.0 12.5 11.6 13.3 13.0 13.0 12.1 12.8 12.2 12.6 2 4 2