The president of a bowling league wanted to estimate the average highest bowling score of all its 200 members. Instead of surveying all 200 members, she randomly selected 20 members and recorded their highest scores. She found the sample mean to be 237. What inference can she make based on the sample mean?
Answer
A
Every member in the league has bowled a 237 game.
B
The highest score ever bowled in the league was 237.
C
The average of the highest games bowled in the league was 237.
D
Out of the 200 members in the league, only 20 of them have ever bowled a 237 game.
Explanation
The sample mean of 237 is an estimate of the population mean, so she can infer that the average of all league members’ highest scores is about 237. A sample does not show that every member scored 237 or that 237 is the league’s highest score. The sample also cannot tell her exactly how many members have bowled a 237 game.
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