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41 female students were randomly sampled. Average SAT score for selected female students: 1148 out of...

41 female students were randomly sampled. Average SAT score for selected female students: 1148 out of 1600 points. Sample standard deviation: 263.7 Average score of all students: 1273. Test the claim that the female average is less than the average of all students. Assume sigma is unknown, use alpha = 0.05.

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