Assume the sample is a random sample from a distribution that is reasonably normally distributed and we are
doing inference for a sample mean. Find endpoints of a -distribution with beyond them in each tail if the
sample has size .
Round your answer to three decimal places.
endpoints i

Ask by Murphy Lee. in the United States

Mar 18,2025

Question

Assume the sample is a random sample from a distribution that is reasonably normally distributed and we are
doing inference for a sample mean. Find endpoints of a -distribution with beyond them in each tail if the
sample has size .
Round your answer to three decimal places.
endpoints i

Ask by Murphy Lee. in the United States

Mar 18,2025

UpStudy AI · Accepted Answer

1. Since the sample size is $$ n = 18 $$, the degrees of freedom for the $$ t $$-distribution is
   $$
   \nu = n - 1 = 18 - 1 = 17.
   $$

2. We want to find endpoints such that $$ 1\% $$ of the probability lies in each tail. This means we are looking for the critical values with tail areas $$ \alpha/2 = 0.01 $$ in the lower tail and $$ 0.01 $$ in the upper tail.

3. The lower endpoint is given by the $$ 0.01 $$ quantile:
   $$
   t_{0.01, 17} \approx -2.567.
   $$
   By symmetry, the upper endpoint is:
   $$
   t_{0.99, 17} \approx 2.567.
   $$

4. Thus, the endpoints are:
   $$
   \text{Endpoints} = \pm 2.567.
   $$
Endpoints = ±2.567

Assume the sample is a random sample from a distribution that is reasonably normally distributed and we are
doing inference for a sample mean. Find endpoints of a -distribution with beyond them in each tail if the
sample has size .
Round your answer to three decimal places.
endpoints i

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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. Find endpoints of a -distribution with beyond them in each tail if the sample has size . Round your answer to three decimal places. endpoints i

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Latest Statistics Questions

Assume the sample is a random sample from a distribution that is reasonably normally distributed and we are
doing inference for a sample mean. Find endpoints of a -distribution with beyond them in each tail if the
sample has size .
Round your answer to three decimal places.
endpoints i