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For the following question (3), please type your responses in APA style . You do

ID: 3074647 • Letter: F

Question

For the following question (3), please type your responses in APA style. You do not need to explicitly include the 5 steps of hypothesis testing. 3. St. Louis County is interested in the attitudes about a new Metrolink light rail train that has recently been constructed. Specifically, they want to know if actually riding the train has an impact on attitudes. To test this, four St. Louis residents were randomly chosen to participate in the study. Each participant reported their attitudes both before and after they first traveled on the light rail system. Attitude scores reflect reactions (from 1-disagree to 10-agree) to the statement: “I am happy they built the Metrolink light rail.” Pre-ride Attitude Post-ride Attitude Rider1 2 6 Rider2 1 6 Rider3 3 5 Rider4 5 7For the following questions (3 and 4), please type your responses in APA style. You do not need to explicitly include the 5 steps of hypothesis testing. 3. St. Louis County is interested in the attitudes about a new Metrolink light rail train that has recently been constructed. Specifically, they want to know if actually riding the train has an impact on attitudes. To test this, four St. Louis residents were randomly chosen to participate in the study. Each participant reported their attitudes both before and after they first traveled on the light rail system. Attitude scores reflect reactions (from 1-disagree to 10-agree) to the statement: “I am happy they built the Metrolink light rail.” Pre-ride Attitude Post-ride Attitude Rider1 2 6 Rider2 1 6 Rider3 3 5 Rider4 5 7

Explanation / Answer

here we want to test the null hypothesis H0: post_ride=pre_ride (or post_ride - pre_ride=0)

and alternate hypothesis H1:post_ride > pre_ride ( right one tailed thest)

here we use paired t-test and statistic t=d-/(sd/sqrt(n))=3.25/(1.5/sqrt(4))=4.33 with n-1=4-1=3 df

one tailed critical t(0.05,3)=2.35 is less than calculated t=4.33, so we fail to accept H0 and conclude that riding the train has an impact on attitudes.

following information has been generated using ms-excel

pre post post-pre=d 2 6 4 1 6 5 3 5 2 5 7 2 mean= 3.25 sd= 1.5 n= 4
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