Twelve runners are asked to run a 10-kilometer race on each of two consecutive weeks.In one of the races,the runners wear one brand of shoe and in the other,a different brand.The brand of shoe they wear in each race is determined at random.All runners are timed and are asked to run their best in each race.The results (in minutes)are given below. Use the sign test for matched pairs to determine if there is evidence that times using Brand 1 tend to be faster than times using Brand 2.Determine which of the following statements is TRUE.
A)We would not reject the null hypothesis of no difference at the 0.10 level.
B)We would reject the null hypothesis of no difference at the 0.10 level but not at the 0.05 level.
C)We would reject the null hypothesis of no difference at the 0.05 level but not at the 0.01 level.
D)We would reject the null hypothesis of no difference at the 0.01 level.

Question

Twelve runners are asked to run a 10-kilometer race on each of two consecutive weeks.In one of the races,the runners wear one brand of shoe and in the other,a different brand.The brand of shoe they wear in each race is determined at random.All runners are timed and are asked to run their best in each race.The results (in minutes)are given below.  Use the sign test for matched pairs to determine if there is evidence that times using Brand 1 tend to be faster than times using Brand 2.Determine which of the following statements is TRUE.
A)We would not reject the null hypothesis of no difference at the 0.10 level. 
B)We would reject the null hypothesis of no difference at the 0.10 level but not at the 0.05 level. 
C)We would reject the null hypothesis of no difference at the 0.05 level but not at the 0.01 level. 
D)We would reject the null hypothesis of no difference at the 0.01 level.

Quizplus · Accepted Answer

The Answer of Twelve runners are asked to run a 10-kilometer race on each of two consecutive weeks.In one of the races,the runners wear one brand of shoe and in the other,a different brand.The brand of shoe they wear in each race is determined at random.All runners are timed and are asked to run their best in each race.The results (in minutes)are given below.  Use the sign test for matched pairs to determine if there is evidence that times using Brand 1 tend to be faster than times using Brand 2.Determine which of the following statements is TRUE.
A)We would not reject the null hypothesis of no difference at the 0.10 level. 
B)We would reject the null hypothesis of no difference at the 0.10 level but not at the 0.05 level. 
C)We would reject the null hypothesis of no difference at the 0.05 level but not at the 0.01 level. 
D)We would reject the null hypothesis of no difference at the 0.01 level.

Twelve Runners Are Asked to Run a 10-Kilometer Race on Each