(b) Consider a sample of n iid observations that follow a Poisson distribution with unknown parameter A. For large n, what is the distribution of X, - A ? Use this result to construct an approximate two-sided 99%-confidence interval for A when n = 50 and 7 = 3. Two-sided means that your interval should not have -∞ or +∞ as an endpoint. You must include a detailed derivation of your confidence interval. Do not use the calculator (in particular, do not round any values) until the end of the calculation.

(b) Consider a sample of n iid observations that follow a Poisson distribution with unknown parameter A. For large n, what is the distribution of X, - A ? Use this result to construct an approximate two-sided 99%-confidence interval for A when n = 50 and 7 = 3. Two-sided means that your interval should not have -∞ or +∞ as an endpoint. You must include a detailed derivation of your confidence interval. Do not use the calculator (in particular, do not round any values) until the end of the calculation.

Name: b) part only!Thank you (a) For a sample of 15 iid normal observations
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Description: b) part only!Thank you (a) For a sample of 15 iid normal observations with sample mean 7 = 10 and sample standarddeviation s = 3.2, construct a lower 99%-confidence bound for the population mean µ. Youmust include a detailed derivation of your confid

MATLAB: An Introduction with Applications

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b) part only!

Thank you

(a) For a sample of 15 iid normal observations with sample mean 7 = 10 and sample standard
deviation s = 3.2, construct a lower 99%-confidence bound for the population mean µ. You
must include a detailed derivation of your confidence bound.
(b) Consider a sample of n iid observations that follow a Poisson distribution with unknown
parameter A. For large n, what is the distribution of
X - A
?
VA/n
Use this result to construct an approximate two-sided 99%-confidence interval for A when
n = 50 and 7 = 3. Two-sided means that your interval should not have -o or +o as an
endpoint. You must include a detailed derivation of your confidence interval. Do not use the
calculator (in particular, do not round any values) until the end of the calculation.

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