Question

determine if the following data collection processes will result in independent or dependent samples, explain your answers.

a. A television news magazine did a report that studied whether auto mechanics charge women more for repairs than they charge men. To gather data they took 10 cars and gave each car a set of problems. 10 women were sent to mechanics to obtain an estimate on the cost of repairs. 10 men then took the same 10 cars (changing license plates on the cars only) to the auto mechanics to obtain estimates on the cost of repairs. ( note: each person took only one car to the mechanics)

b. To determine whether a vaccine is effective or not 200 volunteers are randomly assigned to two groups. One group of 100 is given shot containing the vaccine and the other group of 100 is given a shot containing a placebo (saline solution)

Answer 1

(A) It is a dependent sample case because same set of 10 cars is used. It is clearly mentioned in the question that 10 women were sent to mechanics with cars and then the same set of cars were given to men, then men were sent to mechanics. Cost of repairs for each car is estimated.

So, this is a case of dependent sample as same set of items (cars) are used in both measurements.

(B) it is a case of independent samples because two different groups were formed, 100 people in each group. So, we have different data items or elements in each group while doing the experiment. Therefore, these are independent samples.