Suppose you conduct a t -test for the null hypothesis H0: μ = 1,000 versus the alternative hypothesis Ha: μ > 1,000, based on a sample of 17 observations. The test results are t = 1.89, p-value = .038.
a. What assumptions are necessary for the validity of this procedure?
b. Interpret the results of the test.
c. Suppose the alternative hypothesis had been the twotailed Ha: μ ≠ 1,000. If the t -statistic were unchanged, what would the p -value be for this test? Interpret the p -value for the two-tailed test. If the t -statistic were unchanged, what would the p -value be for this test? Interpret the p -value for the two-tailed test.
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