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A random sample of n = 35 observations from a quantitative population produced a mean = 2.4 and a standard deviation s = .29. Suppose your research objective is to show that the population mean m exceeds 2.3.
a. Give the null and alternative hypotheses for the test.
b. Locate the rejection region for the test using a 5% significance level.
c. Find the standard error of the mean.
d. Before you conduct the test, use your intuition to decide whether the sample mean = 2.4 is likely or unlikely, assuming that µ = 2.3. Now conduct the test. Do the data provide sufficient evidence to indicate that µ > 2.3?