2) A researcher wants to explore the relationship between two variables: Time 1

Question

2) A researcher wants to explore the relationship between two variables: Time 1 and Time 2.

A group of student athletes was training for an obstacle course event by practicing a variety of exercises. Their coach wanted to know if the exercises were in fact related to their time to complete the obstacle course. Time 1 was each athlete’s time (in seconds) for 20 repetitions of shuttle runs (running back and forth between 2 cones placed 25 meters apart) during training. Time 2 was the same athlete’s time (in seconds) to complete the obstacle course during the competition. If the coach wants to see if there was an association between time to complete 20 shuttle runs during training (in seconds) and the time to complete the obstacle course during competition (in seconds), which of the following is the appropriate inference method to analyze these data?

A) Inference for regression  

B) Two independent samples  

C) Matched pairs

Suppose that Weight 1 is the weight (in pounds) of a sample of five individuals before beginning a weight-loss diet, and Weight 2 is the weight in (pounds) of the  same five individuals after the diet.

If we would like to test the effectiveness of the diet, which of the following is the appropriate inference method to analyze these data?  

A) Inference for regression  

B) Two independent samples

C) Matched pairs

4) Suppose a classroom teacher wants to measure whether offering candy as a reward will increase the number of times that a student raises his/her hand to answer a question in class. A study yields the following data.

7

(5,8 and 7 should all be in the same row)

If column 1 is the number of times that a student raised their hand to answer a question before the candy reward was implemented, and column 2 is the number of times that the same students raised their hands to answer questions after the candy reward was implemented, which of the following is the appropriate inference method to analyze these data?

A) Inference for regression

B) Two independent samples  

C) Matched pairs

Time 1 Time 2 421 400 390 383 459 436 384 362 403 392 Weight Weight 2 130 138 160 156 220 224 125 119 205 213

Explanation / Answer

Q2. Matched Pairs, because coach wanted to know if the exercises were in fact related to their time to complete the obstacle course, for this he collects the information of time of atheles for comparision

Q3 Matched Pairs, because the researcher wants to test the effectiveness of the weight loss program, therefore samples are dependent

Q 4 Two independent samples.

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