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
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
Get Answers For Free
Most questions answered within 1 hours.