Test hypothesis with standard deviation

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Within the school district, students were arbitarily assigned to one of two Math teachers - Mrs. Smith and Mrs. Jones. After assignment, Mrs. Smith had 30 students, and Mrs. Jones had 25 students. At end of year, each class took same standardized test. Mrs. Smith's students had average test score of 78, with standard deviation of 10; and Mrs. Jones' students had average test score of 85, with standard deviation of 15. Test hypothesis that Mrs. Smith and Mrs. Jones are equally effective teachers. Use 0.10 level of significance. (Suppose that student performance is approximately normal.)

Reference no: EM13112024

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