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The league mean batting average is 0.280 with a known standard deviation of 0.06. The Rattlers...

The league mean batting average is 0.280 with a known standard deviation of 0.06. The Rattlers and the Vikings belong to the league. The mean batting average for a sample of eight Rattlers is 0.210, and the mean batting average for a sample of eight Vikings is 0.260. There are 24 players on the Rattlers and 19 players on the Vikings. Conduct a hypothesis test with a 2.5% level of significance to test whether the batting averages of the Rattlers and Vikings statistically different.

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