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 ?fewer than 10 headers − ?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.)
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 ?fewer than 10 headers − ?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.)
| n | Sample Mean |
Sample sd |
|
| Fewer Than 10 Headers | 32 | 110 | 9 |
| 10 or More Headers | 28 | 101 | 7 |
| t | = |
| df | = |
| P | = |
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 ? = 0.05.
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