Question

Renee is studying the effect of positive reinforcement for her psychology She gets 16 pigeons. These pigeons are from eight egg clutches with two pigeons from each clutch. Renee matches/pairs each pigeon in Reinforcement Schedule A with its clutchmate in Reinforcement Schedule B. After training the pigeons, she measures the number of correct responses by each in 10 trials. Using a two-tailed test and , α =0.05, use the data below to determine whether or not there is a difference between the two schedules.

Reinforcement Schedule A (Sample 1)	Reinforcement Schedule B (Sample 2)
6	5
8	8
5	4
7	6
4	3
7	7
6	6
8	4

1. What type of t-test should you use?
2. What are your degrees of freedom?
3. What is the appropriate ?  t-crit
4. Calculate t-obt
5. Report your results

Answer 1

1 ) Here we are given two sample test , There are total 16 Pigeons , Renee matches/pairs each pigeon in Reinforcement Schedule A with its clutchmate in Reinforcement Schedule B ,

So, here we have to use Two sample Independent T test .

So, hypothesis will be

2) Degrees of freedom = (n1 -1) + (n2-1) = (8-1) +(8-1) = 7 +7 = 14

3)Here test is two tailed , And given alpah = level of significance = 0.05

So, using T table critical value with 0.05 level of significance and 14 degrees of freedom is 2.145

So, critical values are (-2.145 , 2.145 )

4) Formula of t test statistic is

5) Here T test statistic = 1.288 and critical values are (-2.145 , 2.145 ) , So test statistic is less than 2.145 and greater than -2.145 , So we do not reject H0 at 0.05 level of significance.

So, we conclude that there is not a difference between the two schedules.