In an effort to determine if rats perform certain tasks more quickly if offered

Question

In an effort to determine if rats perform certain tasks more quickly if offered larger rewards, the following experiment was performed. On day 1, a group of three rats was given a reward of one food pellet each time they ran a maze. A second group of three rats was given a reward of five food pellets each time they ran the maze. On day 2, the groups were reversed, so the first group now got five food pellets for running the maze and the second group got only one pellet for running the same maze. The average times in seconds for each rat to run the maze 30 times are shown in the following table. Do these data indicate that rats receiving larger rewards tend to run the maze in less time? Use a 10% level of significance, What is the level of significance? What sampling distribution will you use? What assumptions are you making? The Student's t. We assume that d has an approximately normal distribution. The standard normal. We assume that d has an approximately normal distribution. The Student's t. We assume that d has an approximately uniform distribution. The standard normal. We assume that d has an approximately uniform distribution. What is the value of the sample test statistic? (Use 3 decimal places.) Find (or estimate) the P-value. (Use 4 decimal places.)

Explanation / Answer

let
t1 = time with one food pellet
t2 = time with fie food pellets

rat .........A..........B........C.......D........E.............F
t1-t2......0.2.......0.........0.1....-0.2....0.7.........0.9

mean = 0.2833

standard deviation = 0.3891
hypothesis:
Ho: t1-t2 > 0

Ha: t1-t2 <0

a)

level of significance = 10% = 0.01

c)

test static = 0.2833 -0 /0.3891 = 0.728

d)

p-value = 0.7504

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