Math 156 Sample Exam 3 Formulas Binomial mean np standard ...

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9. a) Suppose H 0

:µ = 15 H a

:µ > 15 and z = -2.35. What are your conclusions What is the p-

value

b) Suppose H 0

: µ = 15 H a

: µ < 15 and z = -2.35. What are your conclusions What is the p-

value

10. Perform a test of H 0

: µ = 10 vs. H a

: µ ! 10 if n = 50 , ! = 1.5 , and x = 10.5 .

Quote an approximate p-value from the tables in your conclusions.

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8. a) Is it possible for a result not to be significant at the 1% level but considered significant at the 5% level Explain. b) If a two-sided test with H 0 : µ = 25 vs. H a : µ ! 25 fails to reject the null hypothesis at the 5% level, what can you say about the corresponding 95% confidence interval c) Suppose the null hypothesis is true. What is the chance the hypothesis test produces a result that is deemed statistically significant at the 5% level

9. a) Suppose H 0 :µ = 15 H a :µ > 15 and z = -2.35. What are your conclusions What is the p- value b) Suppose H 0 : µ = 15 H a : µ < 15 and z = -2.35. What are your conclusions What is the p- value 10. Perform a test of H 0 : µ = 10 vs. H a : µ ! 10 if n = 50 , ! = 1.5 , and x = 10.5 . Quote an approximate p-value from the tables in your conclusions.

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Page 3: 6. a) Consider two confidence inter

Math 156 Sample Exam 3 Formulas Binomial mean np standard ...

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