Question

Determine if the data collection or research question represents independent samples or paired samples (dependent samples).

A) Data was collected on the braking distance on snow-covered pavement of 20 cars with the car’s anti-lock braking system (ABS) on and with the car’s ABS off.

a. Independent samples

b. Paired samples (dependent samples)

B) Is the average cost per night for a 2-bedroom condo listed on Airbnb more in South Beach Miami, Florida than in Scottsdale, Arizona?

a. Independent samples

b. Paired samples (dependent samples)

Answer 1

A) Data was collected on the braking distance on snow-covered pavement of 20 cars with the car’s anti-lock braking system (ABS) on and with the car’s ABS off.

Here, the observation of each car is taken twice once with car’s anti-lock braking system (ABS) on and other with the car’s ABS off, this is a paired information. Hence the test is b. Paired samples (dependent samples)

B) Is the average cost per night for a 2-bedroom condo listed on Airbnb more in South Beach Miami, Florida than in Scottsdale, Arizona?

Here, two means are compared on an attribute, hence it is a. Independent samples test