The College Student Journal (December 1992)investigated differences in traditional and nontraditional students,where nontraditional students are defined as 25 years or older and working.Based on the study results,we can assume the population mean and standard deviation for the GPA of nontraditional students is µ = 3.5 and $\sigma$ = 0.5.Suppose a random sample of 100 nontraditional students is selected and each student's GPA is calculated.What is ?
A)0.5
B)3.5
C)7.0
D)0.05

Question

The College Student Journal (December 1992)investigated differences in traditional and nontraditional students,where nontraditional students are defined as 25 years or older and working.Based on the study results,we can assume the population mean and standard deviation for the GPA of nontraditional students is µ = 3.5 and  $\sigma$ = 0.5.Suppose a random sample of 100 nontraditional students is selected and each student's GPA is calculated.What is  ?
A)0.5 
B)3.5 
C)7.0 
D)0.05

Quizplus · Accepted Answer

The sample mean will also be 3.5 since it is assumed to be the population mean. The standard error of the mean is calculated by dividing the standard deviation by the square root of the sample size:

SE = 0.5 / sqrt(100) = 0.05

Therefore, the 95% confidence interval for the sample mean would be:

3.5 ± 1.96(0.05)

which results in the interval [3.401, 3.599].

The College Student Journal (December 1992)investigated Differences in Traditional and Nontraditional