7) In the table below, the values are white blood cell counts (million cells/uL)

Question

7) In the table below, the values are white blood cell counts (million cells/uL) from 5 male subjects in a health stud Subjects White blood cell count8.75.9 7.3 62 5.9 Red blood cell count Is the "white blood cell counts"somehow matched or related to the "red blood cell counts"? 4.91 5.59 4.444.805.17 a) b) If they are matched, does it make sense to use the difference between the two counts? c) What issue can be addressed by conducting a statistical analysis of the values? After analyzing the sample data in question a researcher conclude that there is a correlation between white blood cell counts and red blood cell counts, does it follow that higher white blood cell counts are the cause of higher red blood cell counts? Explain.

Explanation / Answer

the correlaiton between WBC(x) and RBC(y) is calcuated using ms-excel function=correl(x,y)

(a) yes, WBC and RBC are negatively related, however it is not significant (at 5%)

(b) it doesnot make any sense

(c) there is negative correlation between WBC and RBC, but it is not signifiant.

(d) here r=-0.489 and we can say that higher the WBC lower the RBC.

using t-test for its significance test

t =r/sqrt[(1—r2)/(n—2)]=-0.489/sqrt(1-(-0.489)*(-0.489)/(5-2))=-0.51 with n-2=5-2=3 df

and critical t(0.05/2,3)=3.18 is more than absolute value of calcuated t=0.51, so we conclude that there is not significant correlation between WBC and RBC at 5% level of signifiance

subject WBC(x) RBC(y) 1 8.7 4.91 2 5.9 5.59 3 7.3 4.44 4 6.2 4.8 5 5.9 5.17 corr(x,y)=r= -0.489

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