# statII - M anageri al S tatistics Assignment 1 Heeba...

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Manageri al Statistics. Assignment 1 Heeba Mohammed Al- Qahtani 200752619

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Exercise 11.13: A. P-value(X>50)= P ( - /√ > - /√ ) X µσ n 52 505 9 =P (Z> 1.2) =1-0.8849 = 0.1151 B. P-value(X>50)= P ( - /√ > - /√ ) X µσ n 52 505 25 = P (Z>2.00) =1-0.9772 = 0.0228 C. P-value(X>50)= P ( - /√ > - /√ ) X µσ n 52 505 100 = P (Z>4.00) isn’t in the table. = 0 D. When we increase the sample size, we reduce probability of error one. Also, it will help us to make

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batter decision and make less error. In other words, the test statistic increase and the p-value decrease. Exercise 11.14: A. P-value(X<200)= P ( - /√ > - /√ ) X µσ n 190 20050 9 =P (Z<-0.06) = .2743 B. P-value(X<200)= P ( - /√ > - /√ ) X µσ n 190 20030 9 = P (Z< -1.00) = .1587 C. P-value(X<200)= P ( - /√ > - /√ ) X µσ n 190 20010 9 = P (Z< -3.00) = .0013
D. When we decrease the test statistic, p-value decrease as well. Exercise 11.15: A. P-value(X>20)= P ( - /√ > - /√ ) X µσ n 21 205 25 =P (Z> 1.00)

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=2P (1-.8413) = .3174 B. P-value(X>20)= P ( - /√ > - /√ ) X µσ n 22 205 25 =P (Z> 2.00) =2P (1-.9772) = .0456 C. P-value(X>20)= P ( - /√ > - /√

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