Statistics The College of Science at certain university cons

Statistics: The College of Science at certain university consists of five academic departments: (1) Physics, (2), Chemistry, (3) Biology, (4) Mathematics, (5) Geolgy. There are 50, 70, 20, 10, and 40 faculty members in the deprtments of Physics, Chemistry, Biology, Mathematics and Geology, respectively. It was decided to select a cluster sample of two departements. Use the random number table ( Row 15, Column 1). The row is reproduced below

07119 9733671048 08178

Part AUsing the above labels (1-5) and the random number table (Row15, Column 1) which two departments are selected?

A. Physics ad Mathematics

B. Biology and Geolgy

C. Chemistry and Geology

D. Physics and Biology

Part B.

What is the size of your cluster sample?

Solution

we read the random numbers. The first valid number is 1. So Physics department is selected. then the next valid number is 3 so bdepartment is selected biology.

PArt A

answer is D.

PAert B

the size of cluster sample is 50+20=70