A Little League baseball coach wants to know if his team is representative of other teams in scoring runs. Nationally, the avera

Question

3 years ago

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A Little League baseball coach wants to know if his team is representative of other teams in scoring runs. Nationally, the avera

ge number of runs scored by a Little League team in a game is 5.7. He chooses five games at random in which his team scored 5 , 9, 4, 11, and 8 runs. Is it likely that his team's scores is different from the national distribution

Mathematics

1 answer:

Veseljchak [2.6K] · Answer 1 · 2022-01-08T17:31:54+03:00

Answer:

<h2>Yes, it is likely due to the significant difference in their average scores. </h2>

Step-by-step explanation:

The average number of runs scored by a Little League team in a game is 5.7. If he chooses five games at random in which his team scored 5 , 9, 4, 11, and 8 runs, their average score of the five games is expressed as shown;

Average score of 5 games = (5+9+4+11+8)/5

Average score of 5 games = 37/5

Average score of 5 games = 7.4

Comparing the average score in 5 games to the the average number of runs scored nationally, it can be seen that their difference is 7.4 - 5.7 which is 1.7. Since the difference is quite significant, then it is most likely that his team's scores is different from the national distribution.