Consider a normal population distribution with the value of sigma known. (a) Wha

Question

Consider a normal population distribution with the value of sigma known. (a) What is the confidence level for the interval x plusminus 2.880 sigma/Squareroot n? (b) What is the confidence level for the interval x plusminus 1.41 sigma/Squareroot n? (c) What value of z_a/2 in the CI formula below results in a confidence level of 99.7%? (x - z_a/z middot sigma/Squareroot n, x + z_a/2 middot sigma/Squareroot n) z_a/z = 2.96 d) Answer the question posed in part (c) for a confidence level of 78%. () z_a/2 = 1.17 You may need to use the appropriate table in the Appendix of Tables to answer this question.

Explanation / Answer

level of significance, = 0.22
from standard normal table, two tailed z /2 =1.227
since our test is two-tailed
reject Ho, if zo < -1.227 OR if zo > 1.227

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