What is the confidence level for each of the following confidence intervals for µ? x ̅±1.96(δ⁄√n) x ̅±1.645(δ⁄√n) x ̅±2.575(δ⁄√n) x ̅±1.282(δ⁄√n) x ̅±0.99(δ⁄√n)
Solution :
(a)
Z/2 = 1.96
/2 = 0.025
= 0.05
Confidence level = 1 - 0.05 = 0.95 = 95%
(b)
Z/2 = 1.645
/2 = 0.05
= 0.10
Confidence level = 1 - 0.10 = 0.90 = 90%
(c)
Z/2 = 2.575
/2 = 0.005
= 0.01
Confidence level = 1 - 0.01 = 0.99 = 99%
(d)
Z/2 = 1.282
/2 = 0.1
= 0.2
Confidence level = 1 - 0.2 = 0.80 = 80%
(e)
Z/2 = 0.99
/2 = 0.1611
= 0.3222
Confidence level = 1 - 0.32 = 0.68 = 68%
What is the confidence level for each of the following confidence intervals for µ? x ̅±1.96(δ⁄√n)...
What is the confidence level of each of the following confidence intervals for the population mean μ? i) x̄ ±1.96(σ/) ii) x̄±1.645(σ/) iii) x̄±2.575(σ/) iv) x̄± 1.28(σ/) v) x̄±0.99(σ/) Thank You! We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
The z-value used in a 80% Confidence Interval is 1.645 2.575 1.282 1.96
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