There is a lot of interest in the relationship between studying music and studying math. We will look at some sample data that investigates this relationship. Here are the Math SAT scores from 8 students who studied music through high school and 12 students who did not. The degrees of freedom (d.f.) is given to save calculation time if you are not using software. Math SAT Scores Music (1) 576 548 618 568 629 641 538 567 No Music ( 545 489 566 527 531 542 X2) degrees of freedom: d.f. = 11 Test the claim that students who study music in high school have a higher average Math SAT score than those who do not. Use a 0.01 significance level. (a) Find the test statistic. mean 82 S 585.625 1489.98214285714 38.6002868235087 570 516 499 498 518 508 525.75 686.204545454545 26.195506207259 (b) Find the critical value.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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There is a lot of interest in the relationship between studying music and studying math. We will look at some sample data that investigates this
relationship. Here are the Math SAT scores from 8 students who studied music through high school and 12 students who did not. The degrees
of freedom (d.f.) is given to save calculation time if you are not using software.
Math SAT Scores
Music (1) 576 548 618 568 629 641 538 567
No Music ( 545 489 566 527 531 542 570 516 499 498 518 508
x2)
degrees of freedom: d.f. = 11
(b) Find the critical value.
mean
$²
S
585.625 1489.98214285714 38.6002868235087
525.75 686.204545454545 26.195506207259
Test the claim that students who study music in high school have a higher average Math SAT score than those who do not. Use a 0.01
significance level.
(a) Find the test statistic.
Transcribed Image Text:There is a lot of interest in the relationship between studying music and studying math. We will look at some sample data that investigates this relationship. Here are the Math SAT scores from 8 students who studied music through high school and 12 students who did not. The degrees of freedom (d.f.) is given to save calculation time if you are not using software. Math SAT Scores Music (1) 576 548 618 568 629 641 538 567 No Music ( 545 489 566 527 531 542 570 516 499 498 518 508 x2) degrees of freedom: d.f. = 11 (b) Find the critical value. mean $² S 585.625 1489.98214285714 38.6002868235087 525.75 686.204545454545 26.195506207259 Test the claim that students who study music in high school have a higher average Math SAT score than those who do not. Use a 0.01 significance level. (a) Find the test statistic.
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