A national chain of SAT-preparation schools wants to know if using a smartphone app in addition to
Question:
A national chain of SAT-preparation schools wants to know if using a smartphone app in addition to its regular program will help increase student scores more than using just the regular program. On average, the students in the regular program increase their scores by 128 points during the 3-month class. To investigate using the smartphone app, the prep schools have 5000 students use the app along with the regular program and measure their improvement. Then the schools will test the following hypotheses: H0: μ = 128 versus Ha: μ > 128, where μ is the true mean improvement in the SAT score for students who attend these prep schools. After 3 months, the average improvement was x¯=130 with a standard deviation of sx = 65 . The standardized test statistic is t=2.18 with a P-value of 0.0148. Explain why this result is statistically significant, but not practically important.
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