I need help getting the answer on these problems. Thank you! In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the 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 four rats was given a reward of one food pellet each time they climbed a ladder. A second group of four rats was given a reward of five food pellets each time they climbed a ladder. On day 2, the groups were reversed, so the first group now got five food pellets for each climb and the second group got only one pellet for climbing the same ladder. The average times in seconds for each rat to climb the ladder 30 times are shown in the following table. Rat A B C D E F G H Time 1 pellet 12.3 13.7 11.2 12.1 11.0 10.4 14.6 12.3 Time 5 pellets 11.3 12.4 12.0 10.6 11.5 10.5 12.9 11.0 Do these data indicate that rats receiving larger rewards tend to climb the ladder in less time? Use a 5% level of significance. (Let d = Time 1 − Time 5.) What is the level of significance? What is the value of the sample test statistic?
I need help getting the answer on these problems. Thank you!
In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the 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 four rats was given a reward of one food pellet each time they climbed a ladder. A second group of four rats was given a reward of five food pellets each time they climbed a ladder. On day 2, the groups were reversed, so the first group now got five food pellets for each climb and the second group got only one pellet for climbing the same ladder. The average times in seconds for each rat to climb the ladder 30 times are shown in the following table.
| Rat | A | B | C | D | E | F | G | H |
| Time 1 pellet | 12.3 | 13.7 | 11.2 | 12.1 | 11.0 | 10.4 | 14.6 | 12.3 |
| Time 5 pellets | 11.3 | 12.4 | 12.0 | 10.6 | 11.5 | 10.5 | 12.9 | 11.0 |
Do these data indicate that rats receiving larger rewards tend to climb the ladder in less time? Use a 5% level of significance. (Let d = Time 1 − Time 5.)
What is the level of significance?
What is the value of the sample test statistic?
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