AnswersNC-Math 4 CRObservational Studies and Experiments

Observational Studies and Experiments Answers

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A home-improvement store offers a new brand of lawn food that claims to reduce the number of weeds by 30% over a different brand of lawn food. To test the claim, a homeowner plans to use the new brand of lawn food on half of his lawn and the original brand on the other half. The homeowner will count the number of weeds that appear after a month on each half of the lawn. A neighbor explains that there may be confounding variables, such as shade, that might also explain the relationship.

A
Because of confounding variables, the homeowner should only put the new lawn food on shady spots and the original brand on sunny spots.
B
Because shade is a primary cause of weed growth, the brand of lawn food used in shady or sunny spots will not affect the number of weeds.
C
If the half of the lawn with the new lawn food shows fewer weeds after a month, this will prove the new lawn food is better at stopping weed growth.
D
The parts of the lawn that receive the new lawn food may also get more shade than other parts of the lawn, and the shade might also cause fewer weeds.
2
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To increase attendance for a flower show, the organizers have chosen flower shops in the area to offer discount coupons to their customers. Half of the stores receive discount coupons for admission, while the other half of the stores receive two-for-one admission coupons. The organizers then compare the number of each type of coupon redeemed at the show.

A
The explanatory variable is the number of coupons redeemed. The response variable is the type of coupon.
B
The explanatory variable is each chosen flower shop. The response variable is the number of coupons redeemed.
C
The explanatory variable is the type of coupon. The response variable is number of number of coupons redeemed.
D
The explanatory variable is the attendance at the flower show. The response variable is the number of attendees who used coupons.
3

Many golfers wear wrist bracelets containing magnets because they claim the magnets improve balance and the length of shots played off the tee. A golfer would like to determine if the claim has merit and proposes two methods for collecting data.Method 1: As golfers approach the first tee, give some golfers wrist bracelets with magnets and some golfers wrist bracelets without magnets. During the round of golf, keep track of the length of the golfers’ shots.Method 2: Contact golfers who have purchased wrist bracelets with magnets and ask them to provide information about their shot length.

A
Method 1 is an observational study because it does not attempt to influence responses.
B
Method 2 is an observational study because it does not attempt to influence responses.
C
Method 2 is an observational study because it could include golfers from many golf courses.
D
Both methods are observational studies because they both collect information about shot length.
4

A researcher conducts an experiment using 10 loads of white shirts with similar stains. The loads are divided, and 5 of the loads are washed with name-brand detergent, while the other 5 are washed with store-brand detergent. Volunteers are asked to assess the cleanliness of the shirts.

A
the types of detergent
B
the 10 loads of shirts
C
the volunteers who assess the stains
D
the machines used to wash the shirts
5

An auto-parts store offers a fuel additive that claims to increase a vehicle’s gas mileage. The additive is poured into a vehicle’s gasoline tank after the tank is filled. To measure the claim, the store offers a free bottle of the additive to customers who drive SUV's, who then provide information about their gas mileage on the store website. A customer argues that the type of vehicle could be a confounding variable in this study.

A
Because vehicles of different sizes may respond similarly to the additive, it should be easy to conclude whether the additive improves gas mileage.
B
Because vehicles of different colors may show differences in gas mileage, the additive may improve the gas mileage in some vehicles but not in others.
C
Because owners of different types of vehicles may choose not to use the additive, those vehicles will not show an improvement in gas mileage.
D
Because vehicles of different sizes may respond differently to the additive, it may be difficult to conclude whether the additive improves gas mileage for all vehicles.

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