A Dog Kennel Manager Was Interested in Determining Whether There

Short Answer

A dog kennel manager was interested in determining whether there is a difference in the time it takes a dog to complete an obstacle course for two different courses. A random sample of 36 dogs was selected and the time it took each dog to complete each course was recorded. In twelve cases it took the dog longer to complete course #1. Use the normal approximation to the sign test to determine if there is a significant difference in the time it takes to complete the two obstacle courses. Use = 0.05.
The null and alternate hypotheses are: : The distributions of completion time for an obstacle course are identical for the two different courses, and p = 0.50. : The distributions of completion time for an obstacle course are not identical for the two different courses, and p 0.50.
What is the z-statistic?
______________
What is the critical value for the test statistic?
Reject if |z| > ______________
______________
Conclude that the distributions of completion time for an obstacle course are ______________ for the two different courses.