11. 10 points DevoreStat9 7 E.001 Consider a normal population distribution with

Question

11. 10 points DevoreStat9 7 E.001 Consider a normal population distribution with the value of known. (a) what is the confidence level for the interval 2.81aNn? (Round your answer to one decimal place.) (b) What is the confidence level for the interval xt 1.43o/n? (Round your answer to one decimal place.) (c) what value of za/2 in the Cl formula below results in a confidence level of 99.7%? (Round your answer to two decimal places.) (d) Answer the question posed in part (c) for a confidence level of 75% (Round your answer to two decimal places.) You may need to use the appropriate table in the Appendix of Tables to answer this question

Explanation / Answer

Ans:

a)z(two tailed)=+/-2.81

P(z<2.81)-P(z<-2.81)=0.995 or 99.5%

So,confidence level,c=99.5%

b)z(two tailed)=+/-1.43

P(z<1.43)-P(z<-1.43)=0.847 or 84.7%

So,confidence level,c=84.7%

c)c=0.997

alpha=1-0.997=0.003

alpha/2=0.0015

z=normsinv(0.0015) or normsinv(1-0.0015)=+/-2.97

2.97

d)c=0.75

alpha=1-0.75=0.25

alpha/2=0.125

z=normsinv(0.125) or normsinv(1-0.125)=+/-1.15

1.15

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