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 the P-value. Use mu_fewer than 10 headers - mu_10 headers. Round your test statistic to two decimal places, your df down to the nearest whole number, and the P-value to three decimal places.) t = 3.78 df = 58 p = .0001

Explanation / Answer

The statistical software output for this problem is:

Two sample T hypothesis test:
1 : Mean of Population 1
2 : Mean of Population 2
1 - 2 : Difference between two means
H0 : 1 - 2 = 0
HA : 1 - 2 0
(without pooled variances)

Hypothesis test results:

Hence,

t = 3.87

Difference Sample Diff. Std. Err. DF T-Stat P-value 1 - 2 9 2.3239349 57.979404 3.8727419 0.0003

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