An educational researcher is the test scores for physics students taught using t

Question

An educational researcher is the test scores for physics students taught using two different traditional method, and a web-based self-paced method. Can a he conclude, at alpha = .05, that the test scores in the web-based self-paced are lower? The data does not support the claim because the test value 1.02 is less than the critical value 1.96. The data supports the claim because the test value 2.47 is greater than the critical value 1.96. The data does not support the claim because the test value 1.02 is less than the critical value 1.65. The data supports the claim because the test value 2.47 is greater than the critical value 1.65.

Explanation / Answer

Solution:

alpha, = 0.05
n1 = 40 , x1 = 84 , 1 = sqrt(22) = 4.7
n2 = 50 , x2 = 81 , 2 = sqrt(46) = 6.78

H0: 1 = 2
H1: 1 > 2 (claim)

standard error, SE = sqrt((1^2/n1)+(2^2/n2))
SE = sqrt((4.7^2/40) + (6.78^2/50)) = 1.21310

test statistic, z = (x 1-x 2) / SE
z = (84-81) / 1.21310 = 2.47

critical value = Z = Z0.05
critical value = 1.645

since z > critical value, hence reject H0

D) The data supports the claim because the test value 2.47 is greater than the critical value 1.65

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