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QUESTION

The Mumbai Cricket Club, a professional club for the cricketers, has the player who led the league in batting average for many years.

The Mumbai Cricket Club, a professional club for the cricketers, has the player who led the league in batting average for many years. Over the past ten years, Amod Kambali has achieved a mean batting average of 54.50 runs with a standard deviation of 5.5 runs. This year Amod played 25 matches and achieved an average of 48.80 runs only. Amod is negotiating his contract with the club for the next year, and the salary he will be able to obtain is highly dependent upon his ability to convince the team's owner that his batting average this year was not significantly worse than in the previous years. The selection committee of the club is willing to use a 0.01 significance level.You are required to find out whether Amod's salary will be cut next year.

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