(20 points) Listed below are one semester\'s credit hours and that semester\'s G

Question

(20 points) Listed below are one semester's credit hours and that semester's GPA of fourte Rank Correlation Test to determine whether a significant rank correlation exists between the number of credit hours taken in a semester and the semester GPA. Points will be deducted for steps that are incomplete or missing. . en randomly selected students. Using a 90% confidence level, conduct the formal Credit Hours Corresponding Taken 12 10 GPA 3.3 2.6 3.4 3.6 4 3.8 3.0 3.5 2.4 2.7 3.0 2.4 2.8 2.8 15 15 12 16 10 4

Explanation / Answer

> x <- c(12,10,8,3,4,8,15,6,15,12,16,8,10,4)
> y <- c(3.3,2.6,3.4,3.6,4,3.8,3,3.5,2.4,2.7,3,2.4,2.8,2.8)
> cor.test(x,y, method="spearman")

        Spearman's rank correlation rho

data: x and y
S = 676.68, p-value = 0.07722
alternative hypothesis: true rho is not equal to 0
sample estimates:
       rho
-0.4872155

Warning message:
In cor.test.default(x, y, method = "spearman") :
Cannot compute exact p-value with ties

p-value = 0.0772 < 0.10

hence reject the null , there exist significant correlation

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