A random sample of ten (10) male undergraduate students attending Howard Univers

Question

A random sample of ten (10) male undergraduate students attending Howard University was asked their height and weight. You analyzed those data and found that there was a 0,96 association between height and weight. (a) Test the hypothesis that there was no relationship between height and weight at = 0.05. (b) What proportion of the variation in one variable can be explained by the variation in the other variable (be specific in your answer). (c) Make a statistical decision and write a one- sentence conclusion for (a) and (b) above.

Explanation / Answer

Here sample size = 10

so here association r = 0.96 between height and weight variable

(a) H0 : = 0

Ha : 0

Here test statistic

t = r sqrt [(n-2)/ (1 -r2)]

t = 0.96 * sqrt [ (10 -2)/ (1 - 0.962)]

t = 9.697

here dF = 10-2 = 8 and alpha = 0.05

tcritical = t8,0.05 = 2.306

so here t > tcritical   

so we shall reject the null hypothesis and can say that correlation is significant tere.

(b) here 96% or 0.96 proportion of the variation in one variable is can be explianed by the variation in other variable.

(c) Here there is a significant positive correlation between height and weight of students where 96% of variation of one variable can be explained by the other variable.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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