Question

Hello. I would like to ask a college statistics question.

Q. One hundred draws are made at random with replacement from the box [1,2,2,5].
The draws come out as follows:17 [1]'s, 54 [2]'s, 29 [5]'s. Fill in the blanks, using the options below; show work.

(a) For the _______, the observed value is 0.8 SEs above the expected value.

(b) For the _______, the obseved value is 1.33 SEs above the expected value.

Options (one will be left over):
sum of the draws
number of 1's
number of 2's

Answer 1

1 should be ¼ so it should be drawn 25 times
2 should be ½ so it should be drawn 50 times
5 should be ¼ so it should be drawn 25 times
Avg=10/4=2.5
S2=(2.25+.25+.25+6.25)/4=9/4=.25 so S=1.5
ES=100(2.5)=250
SE=√100 (1.5)=15
A. number of 2's
B. Sum of the draws (270-250=20 and 20/15=1.33)