A random sample X₁, X2, X3, ..., X36 is given from a normal distribution with unknown mea l= EX; and unknown variance Var(X₁₂) = o². For the observed sample, the sample mean i X = 35.8, and the sample variance is $² = 12.5. a. Find and compare 90%, 95%, and 99% confidence interval for u.

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A random sample X₁, X₂, X3, X36 is given from a normal distribution with unknown mean
µ = EX; and unknown variance Var(X;) = σ². For the observed sample, the sample mean is
X = 35.8, and the sample variance is $²
12.5.
a. Find and compare 90%, 95%, and 99% confidence interval for u.
.../
-
Transcribed Image Text:A random sample X₁, X₂, X3, X36 is given from a normal distribution with unknown mean µ = EX; and unknown variance Var(X;) = σ². For the observed sample, the sample mean is X = 35.8, and the sample variance is $² 12.5. a. Find and compare 90%, 95%, and 99% confidence interval for u. .../ -
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