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The standard screening test for Down's syndrome is based on a combination of maternal age and the level of serum alpha fetoprotein. Using the test 80% of Down's syndrome cases can be identified while 5% of normals are detected as positives.
What is the sensitivity and specificity of the test? Suppose that 1 out of 500 infants are born with Down's syndrome.
What is the real world value of the y-intercept and slope in a regression equation? Other than statistics problems, why should I care?
After calculating the sample size needed to estimate a population proportion to within 0.04, your statistics professor told you the maximum allowable error must be reduced to just .01. If the original calculation led to a sample size of 800, the s..
Describe the standard normal distribution. Explain why it can be used to find probabilities for all normal distributions.
Using the .05 significance level, can we conclude that there is a positive association between the two variables?
Compute a 3 month moving average forecast of demand for April through January (of the next year). Compute a 5 month moving average forecast for June through January
Explain whether the authors used a population or a sample. Explain how this could have affected the results. If a sample was used, was it representative of the entire population? Why or why not?
Downhill Ski Resort in Colorado has accumulated information from records of the past 30 winters regarding the measurable snowfall. This information is as follows:
For a population with a mean of μ = 60 and a standard deviation of σ = 24, find the Z score corresponding to each of the following samples.
What can you conclude from Chebyshev's theorem about the percentage of adults in the town whose heights are between 57.3 and 77.7 inches? Please show work.
The grade point average of the students at UTC is 2.80 with a standard deviation of 0.84. The grade point average of students at UTK is 2.4 with a standard deviation of 0.84. Which university shows a more dispersed grade distribution?
The t-statistics that was obtained in the study of 400 subjects was t=20, rejecting the null hypothesis and showing that the drug has a beneficial effect. Why was management upset?
Explain what property associated with the Central Limit Theorem you consider the most important contribution, enabling the use of the normal distribution for sample means.
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