This preview shows page 1. Sign up to view the full content.
Unformatted text preview: random variable. c. Normal Distribution? Not stated, assume it is. d. Large sample? Yes, n = 50 > 30 so CLT may be used. All assumptions seem to be satisfied. 3. Test statistic: Since is unknown the test statistic is ( n 1 ) X T ~ t S / n --= 4. P-Value: Given n = 50, X 210 = and S = 18, cal 210 215 T 1.964 18 / 50-= = -. Because Ha: < 215, p-value = P(T (49) 1.96) = 0.025 (approximately) 5. Decision: Assuming = 0.05, we reject Ho. 6. Conclusion: The observed data indicate that the mean breaking strength of the thread is less than 215 and hence should not be used on the garment (p-value = 0.025)....
View Full Document
- Summer '08