Mean IQs were reported in the article, but the sample sizes and standard deviati
ID: 3363178 • Letter: M
Question
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. Sample Sample Mean 114 105 sd Fewer Than 10 Headers32 9 10 or More Headers 28 (a) 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. (use a statistical computer package to calculate the P-value. Use ewer than 10 headers-M10 headers. Round your test statistic to two decimal places, your df down to the nearest whole number, and your P-value to three decimal places.) t 4.34 df= 58 P-value0.000 State your conclusion. O Reject Ho. We do not have convincing evidence that the mean IQ for those who average fewer than 10 headers per game is greater than the mean IQ for those who average 10 or more headers per game Reject Ho. We have convincing evidence that the mean IQ for those who average fewer than 10 headers per game is greater than the mean IQ for those who average 10 or more headers per game O Do not reject Ho. we do not have convincing evidence that the mean IQ for those who average fewer than 10 headers per game is greater than the mean IQ for those who average 10 or more headers per game O Do not reject Ho- We have convincing evidence that the mean IQ for those who average fewer than 10 headers per game is greater than the mean IQ for those who average 10 or more headers per game (b) Can you conclude that heading the ball causes lower IQ? Yes, since this was an experiment we can conclude that heading the ball causes lower IQ Yes, since this was an observational study we can conclude that heading the ball causes lower IQ No, since this was an experiment we cannot conclude that heading the ball causes lower IQ No, since the sample evidence does not support that conclusion we cannot conclude that heading the ball causes lower IQ No, since this was an observational study we cannot conclude that heading the ball causes lower IQExplanation / Answer
Solution:
a) t = 4.34
df = 58
p-value = 0.00
= option B
b) => option E. No,since the sample evidence does not support that conclusion we cannot conclude that heading the ball cases lower iq