Submit written answers to this quiz. You can write digitally on a tablet or write on a piece of paper and use an app (try Adobe Scan) to scan your work and insert an image into this document.
You may use MATLAB to solve for probabilities and critical values.
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Convert your answer file to a .pdf before upload. Submit your MATLAB code as a .m file.
distributions, alpha, error types, and probability
An article in the Journal of Sports Science (Vol. 5, 1987, 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
Create a normal probability plot of the data. What is a logical assumption about the underlying distribution of the data?
You wish to test the hypothesis: H0 μ =15.1 g/dl against H1 μ ≠ 15.1 g/dl.
What is the P-value? Draw a distribution and shade the p-value region as part of your answer.
Find β for the case where the true mean hemoglobin level is 16.2 g/dl using α=0.05.
What is the power of the test?
Find the critical values if the type 1 error probability is specified to be α=0.01. Draw the distribution, shading the rejection regions and labeling the critical values.