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In: Statistics and Probability

3.3 What is the effect of concussion on brain size? Researchers measured the brain sizes (hippocampal...

3.3 What is the effect of concussion on brain size? Researchers measured the brain sizes (hippocampal volume in
microliters) of 25 football players with a history of medically diagnosed concussion and 25 football player who
did not have any history of concussion.
The data are summarised below.

Group Mean Std. Deviation
concussion 5819 597.2
Non-concussion 6377 709.8

a) Are the mean brain sizes for footballers from the two concussion groups significantly different?
Carry out a hypothesis test. Use a significance level of 5% and use df = n1+n2-2.
b) Create a 95% confidence interval for the mean difference in brain size, and interpret the interval.
c) Does the confidence interval confirm your answer to a)? Explain.

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