1.A simple random sample of 5 employees of a corporation provided the following information.

Employee1 2 3 4 5

Age27 23 35 28 27

GenderM M FF M

Computethe point estimate for the standard deviation of the age ofall employees.

2.A simple random sample of 5 employees of a corporation provided the following information.

Employee1 2 3 4 5

Age29 28 35 28 27

GenderM M F F M

Computethe point estimate for the average age of all employees.

3.There are 8,000 students at the School of Management, UT Dallas. The average age of all the students is 23.7years with a standard deviation of 5.1 years. A random sample of 36 students is selected.

Compute the expected value of the sample mean.

4.There are 696 students at the School of Management, UT Dallas. The average age of all the students is 24years with a standard deviation of 4.7years. A random sample of 40 students is selected.

Compute the standard deviation of the sample mean.

5.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 4.37 years.

What is the smallest sample sizesuch that the standard deviation of the sample mean is0.42 years or less?(Enter aninteger number.)