ean 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 sd Fewer Than 10 Headers 10 or More Headers LUSE SALT n 31 29 108 99 9 7 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 a = 0.05. (Use fewer than 10 headers - #10 headers) Find the test statistic. (Round your answer to two decimal places.) Find the df. (Round your answer down to the nearest whole number.) df = Use technology to find the P-value. (Round your answer to four decimal places.) P-value = State your conclusion. O Fail to 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 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 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 Fail to 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. b) Can you conclude that heading the ball causes lower IQ? O No, since the sample evidence does not support that conclusion we cannot conclude that heading the ball causes lower IQ. O Yes, since this was an experiment we can conclude that heading the ball causes lower IQ. O No, since this was an observational study we cannot conclude that heading the ball causes lower IQ. O Yes, since this was an observational study we can conclude that heading the ball causes lower IQ. O No, since this was an experiment we cannot conclude that heading the ball causes lower IQ.
ean 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 sd Fewer Than 10 Headers 10 or More Headers LUSE SALT n 31 29 108 99 9 7 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 a = 0.05. (Use fewer than 10 headers - #10 headers) Find the test statistic. (Round your answer to two decimal places.) Find the df. (Round your answer down to the nearest whole number.) df = Use technology to find the P-value. (Round your answer to four decimal places.) P-value = State your conclusion. O Fail to 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 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 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 Fail to 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. b) Can you conclude that heading the ball causes lower IQ? O No, since the sample evidence does not support that conclusion we cannot conclude that heading the ball causes lower IQ. O Yes, since this was an experiment we can conclude that heading the ball causes lower IQ. O No, since this was an observational study we cannot conclude that heading the ball causes lower IQ. O Yes, since this was an observational study we can conclude that heading the ball causes lower IQ. O No, since this was an experiment we cannot conclude that heading the ball causes lower IQ.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text: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.
Fewer Than 10 Headers 31
10 or More Headers
n
USE SALT
29
Sample
Mean
108
99
Sample
sd
9
7
(a) Does the sample data support the conclusion that the mean IQ of soccer players who frequently head the ball lower than that of those who do not frequently head the ball? Test the
relevant hypotheses using a = 0.05. (Use fewer than 10 headers 10 headers*
Find the test statistic. (Round your answer to two decimal places.)
t =
Find the df. (Round your answer down to the nearest whole number.)
df =
Use technology to find the P-value. (Round your answer to four decimal places.)
P-value =
State your conclusion.
O Fail to 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 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 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 Fail to 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.
(b) Can you conclude that heading the ball causes lower IQ?
O No, since the sample evidence does not support that conclusion we cannot conclude that heading the ball causes lower IQ.
Yes, since this was an experiment we can conclude that heading the ball causes lower IQ.
O No, since this was an observational study we cannot 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.
O No, since this was an experiment we cannot conclude that heading the ball causes lower IQ.
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