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Chapter 9 Problem 29.xlsx - BA 6933 Statistics and...

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BA 6933 Statistics and Quantitative Methods Chapter 9 Problem 29 a Since the school administrator wants to see if the population mean administrator salary a two tailed test with H_a: μ ≠ 6 is definity appropriate. The null and alternative hypotheses for the administrator salary hypothesis test are as follo : m = 90,000 : m 90,000 b Formula for test statistic are as follows: The value of test statistics is as follows: = 85,272 - 90,000 / 11,039.23 / √25 = -2.141 The degree of freedom on the t-test statistic are n-1 = 25-1 From t distribution table the absolute value of test statistic |t| = 2.141 is between: t025 = 2.064 t01 = 2.492 From this, the p-value bounds for t=-2.141 in two-tailed test with 24 degrees of freedom are as f .02<p-value<.05 Also we can find exact p-value using excel sheet formula The excel sheet formula p-value = t.dist.2t(|t|.n-1) Calculated value -----------> 0.0426368 Therefore, p-value = 0.0426 c For a hypothesis test, the rejection rule using the p-value approach is as follows:
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