Astudent wanted to construct a 95% confidence interval for the average age of students in her statistics class. she randomly selected 9 students. their average age was 19.1 years with a standard deviation of 1.5 years. what is the 99% confidence interval for the population mean?

(17.42, 20.78)

Step-by-step explanation:

As per given , we have

Sample size : n= 9

years

Population standard deviation is not given , so it follows t-distribution.

Sample standard deviation : s= 1.5 years

Confidence level : 99% or 0.99

Significance level :

Degree of freedom : df= 8  (∵df =n-1)

Critical value :

The 99% confidence interval for the population mean would be :-

Hence, the 99% confidence interval for the population mean is (17.42, 20.78) .

if you use photomath right away it will give you the answer not like this app that you have to wait for people.