Student s t table use the closest d f that is smaller In

Last updated: 2/20/2024

Student s t table use the closest d f that is smaller In some situations this choice of d f may increase the P value by a small amount and therefore produce a slightly more conservative answer 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 A B C D E F Time with one food pellet 3 8 4 4 3 0 3 1 3 5 Time with five food pellets 3 1 3 5 2 8 3 3 2 8 3 0 Rat USE SALT H Do these data indicate that rats receiving larger rewards tend to run the maze in less time Use a 5 level of significance Let d one five a What is the level of significance 0 05 State the null and alternate hypotheses Enter for as needed Ho x X X Will you use a left tailed right tailed or two tailed test Otwo tailed left tailed Oright tailed 3 9 b What sampling distribution will you use What assumptions are you making We ll use the standard normal We assume that d has an approximately uniform distribution We ll use the Student s t We assume that d has an approximately normal distribution We ll use the Student s t We assume that d has an approximately uniform distribution We ll use the standard normal We assume that d has an approximately normal distribution What is the t value of the sample test statistic Round your answer to two decimal places c Find or estimate the P value OP value 0 250 0 125 P value 0 250 0 050 P value 0 125 0 025 P value 0 050 0 005 P value 0 025 P value 0 005