1.There are 8,000 students at the School of Management, UT Dallas. The average age of all the students is 24years with a standard deviation of 3years. A random sample of 36 students is selected.

Find a value, C, such that the probabilityof sample means being less than C is 0.5566.

2.There are 8,000 students at the School of Management, UT Dallas. The average age of all the students is 24years with a standard deviation of 3years. A random sample of 36 students is selected.

Find a value, C, such that the probabilityof sample means being greater than C is 0.6293.

3.There are 1000 employees in a firm,53% are female. A sample of 45employees is selected randomly.

Computethe standard error of the sample proportion.

4.There are 1000 employees in a firm,45% are female. A sample of 25 employees is selected randomly.

What is the probability that the sample proportion of females is less than 57%?

5.There are 1000 employees in a firm,45% are female. A sample of 25 employees is selected randomly.

What is the probability that the sample proportion of females is greater than 55%?