Consider a normal population distribution with the value of known. (a) What is t

Question

Consider a normal population distribution with the value of known. (a) What is the confidence level for the interval x ± 2.88/ n ? (Round your answer to one decimal place.) % (b) What is the confidence level for the interval x ± 1.49/ n ? (Round your answer to one decimal place.) % (c) What value of z/2 in the CI formula below results in a confidence level of 99.7%? (Round your answer to two decimal places.) x z/2 · n , x + z/2 · n z/2 = (d) Answer the question posed in part (c) for a confidence level of 75%. (Round your answer to two decimal places.) z/2 = You may need to use the appropriate table in the Appendix of Tables to answer this question.

Explanation / Answer

a) Confidence level for z = 2.88 and two tailed test = 99.60%

b) Confidence level for z = 1.49 and two tailed test = 86.38%

c) For a confidence level of 99.7%, z = 2.97

d) For a confidence level of 75%, z = 1.15

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