Question

A research study investigated differences between male and female students. Based on the study results, we can assume the population mean and standard deviation for the GPA of male students are µ = 3.5 and σ = 0.05. Suppose a random sample of 100 male students is selected and the GPA for each student is calculated. What is the probability that the random sample of 100 male students has a mean GPA greater than 3.42?

.0548

.4364

.9452

.5636

Answer 1

µ =    3.5              
σ =    0.05              
                  
P ( X ≥   3.42   ) = P( (X-µ)/σ ≥ (3.42-3.5) / 0.05)          
= P(Z ≥   -1.600   ) = P( Z <   1.600   ) =    0.9452

Please revert in case of any doubt.

Please upvote. Thanks in advance