In a study of the length of time that students require to earn bachelor’s degrees, 60 students are randomly selected and they are found to have a sample mean of 4.8 years and a sample standard deviation of 2.2 years, construct a 95% confidence interval estimate of the population mean.

Step-by-step explanation:

The  confidence interval to estimate the population mean is given by :_

Given : Sample size : n= 60 , the sample is a large sample (n>30), so we can apply z-test.

Sample mean =

Standard deviation :

Level of confidence:

Then, critical z-value =

Then, a 95% confidence interval estimate of the population mean will be

Hence, the  95% confidence interval to estimate the population mean = .

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2