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Assume the sample is a random sample from a distribution that is reasonably normally distributed and we are doing inference for a sample mean

(a) Find endpoints of a t-distribution with 5 % beyond them in each tail if the sample has size n = 12.
(b) Find endpoints of a t-distribution with 1% beyond them in each tail if the sample has size n=20.

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Answer:

a) Hence the endpoints of a t-distribution with 5% beyond them in each tail if the sample has size n=12 is ± 1.796.

b) Hence the endpoints of a t-distribution with 1% beyond them in each tail if the sample has size n=20 is ± 2.539.

Explanation:

Here the answer is given as follows,

Assume the sample is a random sample from a distribution that is reasonably normally-example-1
Assume the sample is a random sample from a distribution that is reasonably normally-example-2
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