4. -9.09 points 7.E.001 My Consider a normal population distribution with the va

Question

4. -9.09 points 7.E.001 My Consider a normal population distribution with the value of known. (a) what is the confidence level for the interval 2.88o/Vn? (Round your answer to one decimal place.) (b) what is the confidence level for the interval 1.470/Vn? (Round your answer to one decimal place.) (c) what value of Za/2 in the CI formula below results in a confidence level of 99.7%2 (Round your answer to two decimal places.) vn Za/2 (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

Answer to the question :

a.

For a Z = 2.88 we have a cumulative p of .9980

So, the confidence level is 2*(.9980-.5) = .9960 or 99.60%

b. FOr a Z = 1.47 we have a cumulative p of .9297

So, the confidence level is 2*(.9297-.5) = .8594 or 85.94%

c. 99.7% CI is a Z =3, we know this from the empirical 68%-95%-99.7% distribution rule
Za/2 = 3

d. A 75% CI has a Za/2 of Za/2 = 1.15

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