An article in the Journal of Sports Science (1987, Vol. 5, pp. 261€“271) presents the results of an investigation of the hemoglobin level of Canadian Olympic ice hockey players. The data reported are as follows (in g/dl):
15.3 16.0 14.4 16.2 16.2
14.9 15.7 15.3 14.6 15.7
16.0 15.0 15.7 16.2 14.7
14.8 14.6 15.6 14.5 15.2
(a) Given the following probability plot of the data, what is a logical assumption about the underlying distribution of the data?

(b) Explain why this check of the distribution underlying the sample data is important if we want to construct a confidence interval on the mean.
(c) Based on this sample data, a 95% confidence interval for the mean is (15.04, 15.62). Is it reasonable to infer that the true mean could be 14.5? Explain your answer.
(d) Explain why this check of the distribution underlying the sample data is important if we want to construct a confidence interval on the variance.
(e) Based on this sample data, a 95% confidence interval for the variance is (0.22, 0.82). Is it reasonable to infer that the true variance could be 0.35? Explain your answer.
(f) Is it reasonable to use these confidence intervals to draw an inference about the mean and variance of hemoglobin levels?
(i) Of Canadian doctors? Explain your answer.
(ii) Of Canadian children ages 6€“12? Explain your answer.

Transcribed Image Text:

99 95 90 80 70 60 50 40 30 20 10 13.5 14.0 14.5 15.0 15.5 16.0 16.5 17.0 Hemoglobin Level Percentage