Probability of randomly selecting a score
A normal distribution has m = 80 and s = 10. What is the probability of randomly selecting a score greater than 75 from this distribution?
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Using z-scores, a population with m = 37 and s = 6 is standardized so that the new mean is m = 50 and s = 10. How does an individual's z-score in the new distribution compare with his/her z-score in the original population?
Find the maximum likelihood estimate of the parameter θ, for a Uniform [0,θ] distribution.
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Is this sample of 25 exam scores inconsistent with the hypothesis that the true variance is 64 (i.e.,s = 8)? Use the 5 percent level of significance in a two-sided test. Show all steps, including the hypotheses and critical values from Appendix E.
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