Atlas is an avid bowler. Atlas moves to a new city and wants to join a first-place bowling team, the Pioneers. Atlas tells the Pioneers that he averages at least 195, and they ask him to bowl 35 games to verify this claim. He has a sample mean score of 180 with a sample standard deviation of 40. The ‘statistician’ on the Pioneers team is skeptical about Atlas’ claim. Set up the hypothesis as if you were the statistician and test your claim. Use C=95%.

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