A random sample is obtained from a population with a mean of = 100, and a treatm

Question

A random sample is obtained from a population with a mean of = 100, and a treatment is administered to the sample. After treatment, the sample mean is found to be M = 104 and the sample variance is s2 = 400.

(a) Assuming the sample contained n = 16 individuals, measure the size of the treatment effect by computing the estimated d and r2. (Use 3 decimal places.)

(b) Assuming the sample contained n = 25 individuals, measure the size of the treatment effect by computing the estimated d and r2. (Use 3 decimal places.)

Explanation / Answer

A random sample is obtained from a population with a mean of = 100, and a treatment is administered to the sample. After treatment, the sample mean is found to be M = 104 and the sample variance is s2 = 400.

Sd=sqrt(400)=20

t=(104-100)/(20/sqrt(16) =0.8

d = (104-100)/20 =0.2

r2 = (0.82/(0.82+15) =0.041

(b) Assuming the sample contained n = 25 individuals, measure the size of the treatment effect by computing the estimated d and r2. (Use 3 decimal places.)

d = (104-100)/20 =0.2

r2 = (0.82/(0.82+24) =0.026

d = (104-100)/20 =0.2

r2 = (0.82/(0.82+15) =0.041

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