• Q X-u s/yn (п-1)s2 Q =

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, please derive the formulas for confidence intervals for the following parameters, using pivot quantities
Let X1, X2,.
unknown. Which of the following are pivotal quantities?
X, be a random sample from N (u, o²), where u and o? are
X-u
0/yn
X-u
s/yn
(п-1)s2
• Q = X – µ
• CI for mu, when sigma is unknown - using the second pivot quantity
• Cl for sigma^2 - using the third pivot quantity
Transcribed Image Text:, please derive the formulas for confidence intervals for the following parameters, using pivot quantities Let X1, X2,. unknown. Which of the following are pivotal quantities? X, be a random sample from N (u, o²), where u and o? are X-u 0/yn X-u s/yn (п-1)s2 • Q = X – µ • CI for mu, when sigma is unknown - using the second pivot quantity • Cl for sigma^2 - using the third pivot quantity
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