# Question: Two manufacturers of table tennis balls have agreed that the quality

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?

**View Solution:**## Answer to relevant Questions

Is a football jersey number a quantitative or a categorical variable? Support your answer with a detailed explanation. A quality-control technician selects assembled parts from an assembly line and records the following information concerning each part: X: defective or non-defective Y: the employee number of the individual who assembled the ...Suppose a 12-year-old asked you to explain the difference between a statistic and a parameter. a. What information should your answer include? b. What reasons would you give him or her for why one would report the value of a ...Consider the following sequence of defective parts (d) and nondefective parts (n) produced by a machine. Can we reject the hypothesis of randomness at a = 0.05 ? Determine the p-value for the following hypothesis tests involving the sign test:Post your question