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 2.88 sigma/squqreroot n? () 99.60 % (b) What is the confidence level for the interval x^- plusminus 1.47 sigma/squareroot n? () (c) What value of z_alpha/2 in the CI formula below results in a confidence level of 99.7%? () (x^- - z_alpha/2 middot sigma/squareroot n, x^- + z_alpha/2 middot sigma/squareroot n) z_alpha/2 = 2.97 (d) Answer the question posed in part (c) for a confidence level of 78%. () z_alpha/2 = ____

Explanation / Answer

a) answer is right confidence level is 99.60%

b) here the two tailed Z score is 1.47

P value for two tailed corresponding this is 0.8584

Hence the confidence level is 85.84%

c) answer is 2.7478 rounded to two decimal place it is 2.75

d)answer is 0.7722 rounded to two decimal place it is 0.77

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