ath & Music (Raw Data, Software Required): There is a lot of interest in the relationship between...

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Basic Math

ath & Music (Raw Data, SoftwareRequired):
There is a lot of interest in the relationship between studyingmusic and studying math. We will look at some sample data thatinvestigates this relationship. Below are the Math SAT scores from8 students who studied music through high school and 11 studentswho did not. Test the claim that students who study music in highschool have a higher average Math SAT score than those who do not.Test this claim at the 0.05 significance level.
Studied Music NoMusic
count MathSAT Scores (x₁) MathSAT Scores (x₂)
1 516 480
2 571 535
3 589 553
4 588 537
5 521 480
6 564 513
7 531 495
8 597 556
9 554
10 493
11 557

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3.9 Ratings (388 Votes)

Solution State the hypotheses The first step is to state the null hypothesis and an alternative hypothesis Null hypothesis uMusic uNo Music Alternative hypothesis uMusic uNo Music Note that these hypotheses constitute a onetailed test Formulate an analysis plan For this analysis the significance level is 005 Using sample data we See Answer

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	Studied Music	NoMusic
count	MathSAT Scores (x₁)	MathSAT Scores (x₂)
1	516	480
2	571	535
3	589	553
4	588	537
5	521	480
6	564	513
7	531	495
8	597	556
9		554
10		493
11		557