Final answer:
The type of study described is stratified sampling.
Step-by-step explanation:
The type of study described is stratified sampling. In stratified sampling, the population is divided into groups or strata, and a sample is taken from each stratum. In this case, the manager is recording the genders of bowlers in every third lane, which can be considered as dividing the population (lanes) into strata and taking a sample from each stratum.