A track coach wants to compare the 200m time of his high school track team. boy:...

A track coach wants to compare the 200m time of his high school track team.
boy: 23, 22, 21, 24, 23, 25, 22, 23
girl: 25, 28, 22, 26, 29, 26, 27, 24

a. What test should he use to compare the means?
b. Is it significant at 0.5 level?
c. What conclusion can be made?
d. Calculate omega squared and interpret its meaning in this study.

t = (M₁-M₂)/sqr rt [{(N₁-1)S_{1² +} (N₂-1)S2²/(N₁+N₂-2)] _* [(N₁ ₊ N₂)/N1*N2]}

Ω² = {(t² - 1)/ (t² + N₁ + N₂ -1)} X 100

Solutions

Expert Solution

a. Two sample t test for comparison of two population means is appropriate test for comparison.

Omega= ((-3.391)^2-1/((-3.391) ^2 +8+8-1) )×100

= (10.5/26.5) ×100

=39.62

orchestra answered 1 year ago

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