Problem A. Are all athletes the same? The 2004 Olympic Games were held in Athens between August 11 and 29, with the part

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Problem A. Are all athletes the same?
The 2004 Olympic Games were held in Athens between August 11 and
29, with the
participation of more than 10,000 athletes from different countries
in around 300 pr ue-
are different. It is desired to establish some characteristics of
the athletes in different de-
gates. For this, several sports have been selected: Archery,
b'adminton, canoeing, '
cycling, water jumping, gymnastics, swimming, table tennis,
triathlon and weightlifting.
yes. The information of the athletes who participated in these can
be found in the file: ´
Olympics athens 2004.xlsx. Based on this information, we wish to
establish some analyses. ´
1. Determine 99% confidence intervals on the weight of men and
women.
jers. The information suggests that the weight of men is greater
than the weight of women.
women? Explain your answer and use an appropriate hypothesis test
to justify
tify Use p-value as decision criterion in your hypothesis test.
´
2. Through a hypothesis test, validate or refute the
following
statement: The dispersion of the weight of men who participate in
individual canoeing
1000mt is the same as the dispersion of the weight of men who
participate in weightlifting.
weight training in super weight mode. Use a significance level of
0.05 and
Based on your conclusion, determine an appropriate 95% confidence
interval for
the difference of the average weights of the athletes of both
disciplines.
3. Through a test ´ χ
2 adequate determine if the proportion of women
In every sport it is the same for everyone. Use a p-value as a
decision criterion for ´
your rejection or not of your null hypothesis.