Q1 A company studying the productivity of its employees on a new information system was interested in determining if the age (X) of data entry

Q1

A company studying the productivity of its employees on a new information system was interested in determining if the age (X) of data entry operators influenced the number of completed entries made per hour (Y). The regression equation is yˆ = 14.374 − 0.145x .

If sx.04 and sy.61, then the correlation coefficient between age and productivity is

Q2

(1) There are 100 Starburst candies in a bag: 25 each of orange, red, pink, and yellow.

(a) How many ways can 20 people pick a single Starburst from the bag? (We can distinguish between the 4 colors, but not between individual Starbursts of one color.)

(b) How many ways can those 20 people pick Starburst so that the first 5 people all get red?

(c) Consider P(the first 5 people get red).

1. Calculate this probability using the multiplication rule for probability

2. Now calculate this probability using your results from parts (a) and (b).

3. Why are the two different, and which on is correct?