Question #1

A small tech company has 7 employees with the following annual salaries: $45,000, $48,000, $52,000, $55,000, $58,000, $62,000, and $120,000. What is the median salary?

a) $52,000
b) $55,000
c) $62,000
d) The answer cannot be determined from the information given.

Question #2

A researcher is studying the effect of three different teaching methods on student test scores. She randomly assigns 60 students to one of the three methods and records their test scores. The between-group sum of squares is 800, and the within-group sum of squares is 2400. What is the F-ratio for this study?

a) 0.33
b) 3.0
c) 6.0
d) The answer cannot be determined from the information given.

Question #3

In a bag, there are 5 red marbles, 3 blue marbles, and 2 green marbles. If you draw two marbles from the bag without replacement, what is the probability of drawing a red marble followed by a blue marble?

a) 1/6
b) 1/5
c) 3/25
d) The answer cannot be determined from the information given.

Question #4

A machine fills bottles with soda. The fill volume is normally distributed with a mean of 500 ml and a standard deviation of 10 ml. A quality control inspector takes a random sample of 36 bottles and finds the mean fill volume to be 497 ml. What is the z-score for this sample mean?

a) -1.8
b) -0.3
c) -3.0
d) The answer cannot be determined from the information given.

Question #5

A fair six-sided die is rolled twice. What is the probability that the sum of the two rolls is greater than 9?

a) 5/12
b) 1/4
c) 1/3
d) The answer cannot be determined from the information given.