A researcher at a medical college conducted a study of 60 randomly selected male

Question

A researcher at a medical college conducted a study of 60 randomly selected male soccer players and concluded that frequently "heading" the ball in soccer lowers players' IQs. The soccer players were divided into two groups, based on whether they averaged 10 or more headers per game. Mean IQs were reported in the article, but the sample sizes and standard deviations were not given. Suppose that these values were as given in the accompanying table. (Use a statistical computer package to calculate P.)

Explanation / Answer

t=(xbar1-xbar2)/sqrt(s1^2/n1+s2^2/n2)

=(112-103)/sqrt(10^2/34+8^2/26)

=3.87

df=n1+n2-2=34+26-2=58

The p-value= P(t>3.87) =0.0001

using minitab,

stat>basic statistics>2 sample t> summerized data> options> set 95% as confidence level, difference>0

ok, resultsc as below

Sample N Mean StDev SE Mean
1 34 112.0 10.0 1.7
2 26 103.00 8.00 1.6

Difference = (1) - (2)

Ha:difference>0

Estimate for difference: 9.00
95% lower bound for difference: 5.11
T-Test of difference = 0 (vs >): T-Value = 3.87 P-Value = 0.0001 DF = 58

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