Section 9.2 Homework Question 4

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Section 9.2 Homework Question 4

Question

Section 9.2 Homework

4.

A simple random sample of size n is drawn from a population that is normally distributed. The sample​ mean,

​,

is found to be

​,

and the sample standard​ deviation, s, is found to be

.
​(a) Construct

​%

confidence interval about

if the sample​ size, n, is

.
​(b) Construct

​%

confidence interval about

if the sample​ size, n, is

.
​(c) Construct

​%

confidence interval about

if the sample​ size, n, is

.
​(d) Could we have computed the confidence intervals in parts​ (a)-(c) if the population had not been normally​ distributed?
 
 
a) Construct

​%

confidence interval about

if the sample​ size, n, is

.
 
Lower​ bound:

nothing​;

Upper​ bound: nothing

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This question is taken from Math 136 – Introduction to Statistics » Summer 2021 » Section 9.2 Homework