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 issmaller. 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 givena 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 groupswere 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 inseconds for each rat to run the maze 30 times are shown in the following table.RatTime with one food pelletTime with five food pelletsUSE SALTABC0D3.3FE3.59.92.8Do 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?05State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test?Ho: Hd = 0; H₁: H < 0; left-tailedⒸH₁ H₂ = 0; H₂₁: H = 0; two-tailedHo Hd <0; H₂ Hd = 0; left-tailedHod=0; H₁₂ > 0: right-tailed(b) What sampling distribution will you use? What assumptions are you making?The standard normal. We assume that d has an approximately uniform distribution.O The standard normal. We assume that d has an approximately normal distribution.The Student's t. We assume that d has an approximately normal distribution.The Student's t. We assume that d has an approximately uniform distribution.XWhat is the value of the sample test statistic? (Round your answer to three decimal places.)2.700X (e) State your conclusion in the context of the application.Fail to reject the null hypothesis, there is insufficient evidence to claim that the mean time for ratsreceiving larger rewards to run the maze is less.Reject the null hypothesis, there is insufficient evidence to claim that the mean time for rats receivinglarger rewards to run the maze is less.Reject the null hypothesis, there is sufficient evidence to claim that the mean time for rats receiving largerrewards to run the maze is less.O Fail to reject the null hypothesis, there is sufficient evidence to claim that the mean time for rats receivinglarger rewards to run the maze is less.

Solution: One Five d=One-Five (d-d)2 3.6 2.8 0.8 0.100278 4.1 3.5 0.6 0.013611 3 2.9 0.1…

n this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's & table, use the closest d.. that is maller. 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. n 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 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 econds for each rat to run the maze 30 times are shown in the following table. Rat Time with one food pellet Time with five food pellets 28 LUSE SALT A B 3.6 111 C 1.0 2.9 D 18.5 819 3.1 8.3 2.8 3.0 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? 05 State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? Ho: Hd = 0; H₁: < 0; left-tailed ⒸH₁ H₂ = 0; H₂H0; two-tailed

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...