Just need help with these no need for super detailed solutions just want to make sure I am right this is non graded.

QUESTION 6 There are EDGE) students atthe School of Managgment, UT Dallas. The average age of all the students is 24yearswith a standard deviation of 3 years. A random sample of 36 students is selected. What is the probability that the sample mean will be less than 23.22 yea rs? QUESTION 7 There are 3,000 students at the School of Management, UT Dallas. The average age of all the students is 24 years with a standard deviation of 3 years. A random sample of 36 students is selected. What is the probability that the sample mean will be greater than 23.27 years? QUESTION 8 There are 3,000 students at the School of Management, UT Dallas. The average age of all the students is 24 years with a standard deviation Of 3 years. A random sample of 36 students is selected. Find a value. C, such that the probability of sample means being greater than C is 0.0958. QUESTION 9 There are 3,000 students at the School of Management, UT Dallas. The average age of all the students is 24 years with a standard deviation Of 3 years. A random sample of 36 students is selected. Find a value. C, such that the probability of sample means being less than C is 0.1922. QUESTION 10 There are 1000 employees in a rm, 40% are female. A sample of 35 employees is selected randomly. Compute the standard error ofthe sample proportion. .082 QUESTION 11 There are '1000 employees in a f'Irn'Ir 45% are female. A sample Of25 employees is selected randomly. What is the probability that the sample proportion of females is less than STE-la