Problem

Bowler’s hot hand. Is the probability of a bowler rolling a strike higher after he has thr...

Bowler’s hot hand. Is the probability of a bowler rolling a strike higher after he has thrown four consecutive strikes? An investigation into the phenomenon of a “hot hand” in bowling was published in The American Statistician (Feb. 2004). Frame-by-frame results were collected on 43 professional bowlers from the 2002–2003 Professional Bowlers Association (PBA) season. For each bowler, the researchers calculated the proportion of strikes rolled after bowling four consecutive strikes and the proportion after bowling four consecutive nonstrikes. The data on 4 of the 43 bowlers, saved in the HOTBOWLER file, are shown in the following table.

Proportion of Strikes

 

Bowler

After Four

Strikes

After Four

Nonstrikes

Paul Fleming   

Bryon Smith    

Mike DeVaney   

Dave D’Entremont

.683

.684

.632

.610

.432

.400

.421

.529

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