A local AP Statistics student was wondering if the average SAT Math score at her school (High School A) was different th

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A Local Ap Statistics Student Was Wondering If The Average Sat Math Score At Her School High School A Was Different Th 1 (67.52 KiB) Viewed 64 times

A local AP Statistics student was wondering if the average SAT Math score at her school (High School A) was different than the average SAT Math score at their rival school (High School B). She selected a random sample of 16 students from High School A and an independent random sample of 13 students from High School B, and recorded the SAT Math score of all students sampled. Here are the results. (SAT Math scores nationwide follow a Normal distribution) SAT Math Scores High School A 465, 540, 561, 683, 628, 500, 430, 578, 586, 418, 539, 538, 652, 626, 417, 690 High School B 574, 475, 353, 547, 550, 459, 489, 590, 464, 538, 521, 378, 610 in USE SALT a) Construct a 99% confidence interval for the difference between the average SAT Math score of all students at High School A and the average SAT Math score of all students at High School B. (2 decimal places) b) Does your confidence interval provide evidence (at a = 0.010) that there is a statistically significant difference between the average SAT Math score of all students at High School A and the average SAT Math score of all students at High School B? O Because o is not contained within my 99% confidence interval, I am 99% confident that the difference between the average SAT Math score for the sample of students at High School A and the average SAT Math score for the sample of students at High School B is not o, so there is a difference in average SAT Math scores between the samples taken at these two schools. O Because o is contained within my 99% confidence interval, it is possible that the difference between the average SAT Math score at High School A and the average SAT Math score at High School B is O, so I do not have enough evidence that there is a difference in average SAT Math scores at these two schools. O Because O is contained within my 99% confidence interval, it is possible that the difference between the average SAT Math score for the sample of students at High School A and the average SAT Math score for the sample of students at High School B is O, so I do not have enough evidence that there is a difference in average SAT Math scores between the samples taken at these two schools. O Because O is not contained within my 99% confidence interval, I am 99% confident that the difference between the average SAT Math score at High School A and the average SAT Math score at High School B is not o, so there is a difference in average SAT Math scores at these two schools.