# Question

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, “The results show my product to be superior.” Manufacturer B replies, “I 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?

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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