nvestigation, six sites along interstate highways where service signs are posted were selected. For each site, crash data was obtained for a three-year period before distance information was added to the service signs and for a one-year period afterward. The number of crashes per year before and after the sign changes were as follows. Before: 14 29 62 123 64 62 After: 15 27 41 84 76 71 (a) The article included the statement "A paired t test was performed to determine whether there was any change in the mean number of crashes before and after the addition of distance information on the signs." Carry out such a test. [Note: The relevant normal probability plot shows a substantial linear pattern.] State and test the appropriate hypotheses. (Use a = 0.05.) O Ho: Hp = 0 H: Hp < 0 O Ho: Ho -0 Hi Ho sO O Họ: HD = 0 H: Ho zO O Ho: Ho = 0 Hi Ho> 0 O Ho: Hp = 0 Hoi Ho # O Calculate the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) P-value = State the conclusion in the problem context. O Fail to reject Ho. The data does not suggest a significant mean difference in the average number of accidents after information was added to road signs. O Reject Ho. The data does not suggest a significant mean difference in the average number of accidents after information was added to road signs. O Fail to reject Ho. The data suggests significant mean difference in the average number of accidents after information was added to road signs. O Reject Ho. The data suggests a significant mean difference in the average number of accidents after information was added to road signs. (b) If a seventh site were to be randomly selected among locations bearing service signs, between what values would you predict the difference in number of crashes to lie? (Use a 95% prediction interval. Round your answers to two decimal places.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Concept explainers

Question

Transcribed Image Text:Many freeways have service (or logo) signs that give information on attractions, camping, lodging, food, and gas services prior to off-ramps. These signs typically do not provide information on distances. An article reported that in one investigation, six sites along interstate highways where service signs are posted were selected. For each site, crash data was obtained for a three-year period before distance information was added to the service signs and for a one-year period afterward. The number of crashes per year before and after the sign changes were as follows. Before: 14 29 62 123 64 62 After: 15 27 41 84 76 71 (a) The article included the statement "A paired t test was performed to determine whether there was any change in the mean number of crashes before and after the addition of distance information on the signs." Carry out such a test. [Note: The relevant normal probability plot shows a substantial linear pattern.] State and test the appropriate hypotheses. (Use a = 0.05.) Hoi HD Ha: HD < 0 Hoi HD = Ha: HD SO Ho: HD = 0 Ha: HD 2 0 O Ho: HD = 0 Ha: HD > 0 Ho: HD = 0 Ha: HD # 0 Calculate the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) t = P-value = State the conclusion in the problem context. Fail to reject Ho: The data does not suggest a significant mean difference in the average number of accidents after information was added to road signs. Reject Ho. The data does not suggest a significant mean difference in the average number of accidents after information was added to road signs. Fail to reject Ho. The data suggests a significant mean difference in the average number of accidents after information was added to road signs. Reject Ho: The data suggests a significant mean difference in the average number of accidents after information was added to road signs. (b) If a seventh site were to be randomly selected among locations bearing service signs, between what values would you predict the difference in number of crashes to lie? (Use a 95% prediction interval. Round your answers to two decimal places.)

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions