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 385 points. is the students’ average score of 385 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? (2 pts) is the tutor o-rama students’ average score of 385 points significantly different at the 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? (2 pts)

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Step-by-step explanation:

The score increase was 35 points. They claimed an increase of at least 50 points.  For a significance level of 5%, the z-score for the situation needs to be at smaller than -1.645.  For a significance level of 1%, the z-score needs to be smaller than -2.325

The z score for our situation:  z = (385 - 350)/50 = 0.7

The average score of 385 of Tutor O-Rama scores is not significantly different from the average of the other students SAT scores.  The evidence doesn't support their claim of being effective tutoring.

rounding to the nearest thousandth would be 452,000

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