To compare the heights of Soprano, Alto, Tenor and Bass singers, data has been c

Question

To compare the heights of Soprano, Alto, Tenor and Bass singers, data has been collected from the NY Choral Society in 1979 (singers.txt). Determine whether these four groups have the same mean height. Use =0.05.

You can find the data in the link: http://lib.stat.cmu.edu/DASL/Datafiles/Singers.html  

Any tips here? Not sure where to start. If it isn't too tedious, an answer would be appreciated. I listed the null and alternative hypothesis below.

H0 : There is no difference in the mean heights of the 4 groups

H1 : There is a statistical difference in the mean heights of atleast 2 groups.

Explanation / Answer

applying onbe factor ANOVA on above:

as P vlaue is significantly very low. We reject null hypothesis and conclude that at least 2 groups have statistical difference in the mean heights

Groups Count Sum Average Variance Soprano 36 2313 64.25 3.507143 Alto 35 2271 64.88571 7.810084 Tenor 20 1383 69.15 10.34474 Bass 39 2758 70.71795 5.576248 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 1058.529 3 352.843 55.80013 5.11E-23 2.676525 Within Groups 796.7403 126 6.323336 Total 1855.269 129

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.