I attempted the problem below but my answer didn't even fall within the choices of my practice problems, so I'm definitely doing something wrong. Can you help? Please show all work. I think I may have used the wrong equation.

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 ofmale students are mean =3.5 and standard deviation =0.5.suppose a random sample of 100 male students is selected and the GPA for each student is calculated. Find the interval that contains 95.44 percent of the sample means for male students

• (3.45, 3.55)
• (2.50,4.50)
• (3.35, 3.65)
• (3.40, 3.60)

Thank you.