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Unformatted text preview: 6) H a : µ > 240 versus H o : µ < 240 If n = 18 and t = 2.354, find the p-value of t = 2.354. Decision Criterion for a Hypothesis Test Using the P-value: If the P-value is less than α , reject the null hypothesis; otherwise, fail to reject the null hypothesis. Example: H a : µ =/ 30 H o : µ = 30 Assumptions: Since n > 30, the sampling distribution of x ¯ is approximately normally distributed. Test Statistic: If σ is not known, use s for σ . α = .05 RR: p-value < .05 Calculation: z = -1.54 P-value = 2P(z > z calculated ) = 2P(z > 1.54) = 2P(z < -1.54) = 2(.5 - .4382) = 2(.0618) = .1236 Decision: Fail to reject H o . Conclusion: The data do not provide enough evidence to conclude that the population’s mean differs from 30....
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- Fall '08
- Probability, Null hypothesis, Statistical hypothesis testing