A golfer claims that his average golf score at the course he plays regularly is less than 5.

A golfer claims that his average golf score at the course he plays regularly is less than 5.5. A random sample of 38 rounds of golf was selected from a total 114 rounds that were played at the golf course (Population size N=114). The sample mean obtained was 5.67. Assume that the standard deviation for the population of scores for this golfer is 0.437 and a significance level