# St Pauls University Statistics Worksheet

This lab is worth 10 points. To earn full credit, you must complete step 1 and step 2.Step 1: Answer all six questions below and be sure to explain your reasoning.
Step 2: Respond to a minimum of one other classmate. Critique their response and provide feedback. If
you provide a classmate with support in getting to the correct answer, that counts as feedback!
Example of satisfactory response to classmates:
“Lisa, one way you can better figure out how to solve this question is by…..”
Example of unsatisfactory response to classmates:
“Lisa, great job!”
Obedience School for Dogs is a small franchise that offers obedience classes for dogs. Some people
think that larger dogs are easier to train and, therefore, should not be charged as much for the classes.
To investigate this claim, dogs enrolled in the classes were classified as large (30 pounds or more) or
small (under 30 pounds). The dogs were also classified by whether or not they passed the obedience
class offered by the franchise. 45% of the dogs involved in the classes were large. 60% of the dogs
passed the class. Records indicate that 40% of the dogs in the classes were small and passed the
course.
1) Copy and Complete the following hypothetical 1000 two-way table:
Passed the
Course
Did Not Pass the
Course
Total
Large Dogs
Small Dogs
Total
2) Estimate the probability that a dog selected at random from those enrolled in the classes passed the
course.
3) A dog was randomly selected from the dogs that completed the class. If the selected dog was a large
dog, what is the probability this dog passed the course?
4) A dog was randomly selected from the dogs that completed the class. If the selected dog is a small
dog, what is the probability this dog passed the course?
5) Do you think dog size and whether or not a dog passes the course are related?
6) Do you think large dogs should get a discount. Explain your answer.
2) Peer ann
1) Copy and complete the following hypothetical 1000 two-way table:
Did Not Pass the
Course
250
Total
Large Dogs
Passed the
Course
200
Small Dogs
400
150
550
Total
600
400
1000
450
2) Estimate the probability that a dog selected at random from those enrolled in the classes passed the
course. P=0.6 or 60% Calculation=600/1000
3) A dog was randomly selected from the dogs that completed the class. If the selected dog was a large
dog, what is the probability this dog passed the course? P=0.44 Calculation= 200/450
4) A dog was randomly selected from the dogs that completed the class. If the selected dog is a small
dog, what is the probability this dog passed the course? P=0.73 Calculation= 400/550
5) Do you think dog size and whether or not a dog passes the course are related? I think dog size and
whether or not a dog passes the course may be related based on the data. However, the opposite seems
to be true; a higher percentage of small dogs passed the course than large dogs.
6) Do you think large dogs should get a discount. Explain your answer. I don’t think large dogs should get
a discount because it seems that, based on this study, large dogs are harder to train and would require
more time and effort from the trainers. Therefore, the trainers should be paid appropriately to based on
how long it takes to train the dog.

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