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1. For each of the following, state whether you\'d use one-sample or two-sample

ID: 3149951 • Letter: 1

Question

1. For each of the following, state whether you'd use one-sample or two-sample procedures to analyze the data, and explain why.

A. A university is interested in whether there's a difference between students who live on campus and students who live off campus with respect to absenteeism. Over one semester, researchers take random samples of on-campus and off-campus students and recorde the number of classes each student misses.

B. A company wants to know whether listening to music improves efficiency among its employees. Two employees are randomly chosen from each of 10 deprtments and are given the same task to compete. One employee from each pair is allowed to listen to music and the other employee isn't. Researchers record the time it takes each employee to complete the assigned task.

C. A restaurant owner wants to know whether customers will drink more coffee if he switches to a new brand. Every night for one week, he randmly selecets one half of the restaurant and serves the new brand to customers who sit in this selection. Customers in the other half receive the ld brand. He records the number of refills ordered in each section.

D. You want to know if there's a difference between the time it takes you to get to school on the bus and the time it takes you to gett to school when you get a ride from a friend. Over a semester, you flip a coin to decide whether you'll take the bus or get a ride. You record your travel time daily.

Explanation / Answer

A. A university is interested in whether there's a difference between students who live on campus and students who live off campus with respect to absenteeism. Over one semester, researchers take random samples of on-campus and off-campus students and recorde the number of classes each student misses.

Sol) Here we use Two sample procedure since we need to test whether there's a difference between students who live on campus and students who live off campus with respect to absenteeism.

B. A company wants to know whether listening to music improves efficiency among its employees. Two employees are randomly chosen from each of 10 deprtments and are given the same task to compete. One employee from each pair is allowed to listen to music and the other employee isn't. Researchers record the time it takes each employee to complete the assigned task.

SOl) We use onle sample test since we test whether listening to music improves efficiency among its employees

C. A restaurant owner wants to know whether customers will drink more coffee if he switches to a new brand. Every night for one week, he randmly selecets one half of the restaurant and serves the new brand to customers who sit in this selection. Customers in the other half receive the ld brand. He records the number of refills ordered in each section.

Sol) We use one sample test since we need to test whether customers will drink more coffee if he switches to a new brand

D. You want to know if there's a difference between the time it takes you to get to school on the bus and the time it takes you to gett to school when you get a ride from a friend. Over a semester, you flip a coin to decide whether you'll take the bus or get a ride. You record your travel time daily.

Sol) We use two sample test since we test whether there's a difference between the time it takes you to get to school on the bus and the time it takes you to gett to school