Question

simple random sample of size n is drawn. The sample​ mean,

x overbarx​,

is found to be

19.1

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

4.14

​(a) Construct a

95​%

confidence interval about

muμ

if the sample​ size, n, is

35.

Answer 1

We have given that,          
          
Sample mean =19.1  
Sample standard deviation =4.14
Sample size =35  
Level of significance=0.05  
Degree of freedom =34  
          
t critical value is (by using t table)=2.032  
          
Confidence interval formula is

=(17.678,20.522)

          
          
Lower confidence limit=   17.678  
          
Upper confidence limit=   20.522