Question: Hideki Okajima is a relief pitcher for the Boston Red Sox. He throws a two-seam fastball pitch (T) to complement his tremendous split-finger pitch (S).

Hideki Okajima is a relief pitcher for the Boston Red Sox. He throws a two-seam fastball pitch (T) to complement his tremendous split-finger pitch (S). One night, Okajima threw 20 pitches. The following sequence represents the pitches he threw, in order.

T T S T S S T T T S T S S T S S S S T S

Conduct a runs test for randomness on the data at the a = 0.05 significance level. Is there enough evidence to support the hypothesis that Okajima’s pitches are not random?

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n 20 n 1 9 twoseam fastballs n 2 11 splitfinger fastballs and r 12 Si... View full answer

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