A Golf Course in California Has Determined That the Mean

Multiple Choice

A golf course in California has determined that the mean time it takes for a foursome to complete an 18 hole round of golf is 4 hours 35 minutes (275 minutes) with a standard deviation of 14 minutes. The time distribution is also thought to be approximately normal. Every month, the head pro at the course randomly selects a sample of 8 foursomes and monitors the time it takes them to play. Suppose the mean time that was observed for the sample last month was 4 hours 44 minutes (284 minutes) . What is the probability of seeing a sample mean this high or higher?

A) Approximately 0.4649
B) About 0.9649
C) Approximately 0.0351
D) About 0.9298