# Question

Each pair of graphs in Fig. 10.8 shows the distributions of a variable on two populations. Suppose that, in each case, you want to perform a small-sample hypothesis test based on independent simple random samples to compare the means of the two populations. In each case, decide which, if any, of the following tests is preferable: the pooled t-test, the nonpooled t-test, or the Mann-Whitney test. Explain your answers.

## Answer to relevant Questions

Suppose that the sample sizes, n1 and n2, are equal for independent simple random samples from two populations. a. Show that the values of the pooled and nonpooled t-statistics will be identical. (Hint: Refer to Exercise ...State the two conditions required for performing a paired t-procedure. How important are those conditions? Independent; n1 = 20, n2 = 15; Fig. 10.15 Provides a type of sampling (independent or paired), sample size(s), and a figure showing the results of preliminary data analyses on the sample(s). For independent samples, the ...Regarding the pooled and nonpooled t-procedures, a. What is the difference in assumptions between the two procedures? b. How important is the assumption of independent simple random samples for these procedures? c. How ...Neutropenia is an abnormally low number of neutrophils (a type of white blood cell) in the blood. Chemotherapy often reduces the number of neutrophils to a level that makes patients susceptible to fever and infections. G. ...Post your question

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