Unformatted text preview: = 0.10, n×p = 6 < 10. This condition is not satisfied hence we CANNOT use the normal approximation to the binomial distribution. However, we may use exact distribution. Hypotheses: Ho: p = 0.10 vs. Ha: p > 0.10. Test Statistic: is Y = Number of resistors in the sample that do not meet the established tolerance limits. Then Y ~ B(60, 0.10). [Why? Check all 5 conditions for the binomial distribution.] The p-value: Remember the general definition of the p-value: From the observed data we have, We can find the above probability using a more extensive table than what you have in your text [Table 2 in the appendix]. Alternatively, we can see and state that Decision: Reject Ho since the p-value is extremely large. Conclusion: The observed sample give strong evidence to indicate that the proportion of resistors that do not meet the established limits in the population exceeds the manufacturer’s claim of 10%....
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This note was uploaded on 11/12/2011 for the course STA 3032 taught by Professor Kyung during the Summer '08 term at University of Florida.
- Summer '08