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.)

	n	Sample Mean	Sample sd
Fewer Than 10 Headers	35	116	10
10 or More Headers	25	107	8

t	=		(Round the answer to two decimal places.)
df	=
P	=		(Round the answer to five decimal places.)

Does the sample data support the conclusion that the mean IQ of soccer players who frequently head the ball is lower than that of those who do not frequently head the ball? Test the relevant hypotheses using ? = .05.

Yes

No   

Answer 1

Suppose,

Sample 1 =Fewer Than 10 Headers

Sample 2 = 10 or More Headers

We are given,

n1 = 35 , n2 = 25

= 116 , = 107

s1 = 10 , s2 = 8

Given claim is,

sample data support the conclusion that the mean IQ of soccer players who frequently head the ball is lower than that of those who do not frequently head the ball.

That is Mean (10 or More Headers) < mean (Fewer Than 10 Headers)

Done