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(5 points) Let X1, . . . , Xn be a random variable from N(µ, s2
) where both µ and
s
2 are unknown. Find a pivot quantity based on the random sample. Use the pivot
quantity to set up a one-sided (1 - a) confidence interval for µ for the hypothesis
H0 : µ = µ0 versus H1 : µ µ0.
(5 points) Let X1, . . . , Xn be a random variable from N(µ, s2
) where both µ and
s
2 are unknown. Find a pivot quantity based on the random sample. Use the pivot
quantity to set up a one-sided (1 - a) confidence interval for µ for the hypothesis
H0 : µ = µ0 versus H1 : µ µ0.
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