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Tutor O-Rama claims that...

Tutor O-Rama claims that their services will raise student SAT math scores at least 50 points. The average score on the math portion of the SAT is μ=350 and σ= 35. The 100 students who completed the tutoring program had an average score of 365 points.

**Tutor's Assistant:** The Advanced Math Tutor can help you get an A on your homework or ace your next test. Is there anything else important you think the Advanced Math Tutor should know?

A. Is the student's average score of 365 points significant at the 5% and 1% levels to support Tutor O-Rama’s claim of at least a 50-point increase in the SAT score?b. Is the Tutor O-Rama students average score of 385 points significantly different at 5% and 1% levels from the average score of 350 points on the math portion of the SAT? What conclusion can you make, based on your results, about the effectiveness of Tutor O-Rama’s tutoring?

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