Which of the following statements are true concerning the mean of the differences between two dependent samples (matched pairs)? ... Select all that apply. A. If one wants to use a confidence interval to test the claim that H >0 with a 0.10 significance level, the confidence interval should have a confidence level of 80%. B. The requirement of a simple random sample is satisfied if we have independent pairs of voluntary response data. C. If one has five matched pairs of sample data, there is a loose requirement that the five differences appear to be from a normally distributed population. D. The methods used to evaluate the mean of the differences between two dependent variables apply if one has 75 heights of women from New York and 75 heights of women from Ohio. E. If one has more than 21 matched pairs of sample data, one can consider the sample to be large and there is no need to check for normality.

Differentiate

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General Solutions and Phase Portraits. In each of Problems 1 through 6, find the general solution of the given system of equations. Also draw a direction field and a phase portrait. Describe how the solutions behave as t→ ∞0.