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Dr. Dangane has a new idea for a diet, based on the following medical logic: By

ID: 3045522 • Letter: D

Question

Dr. Dangane has a new idea for a diet, based on the

following medical logic: By definition, 1 calorie is the heat it takes to raise 1

gram of water by 1 degree. If you drink 1 liter of ice water, you are warming

up 1000 grams by 37 degrees, burning 37,000 calories. Since the average

person eats only 2000 to 2500 Calories per day, Dr. Dangane figures all his

patients need to do is drink a liter of ice water, thereby burning more than

10 times their daily intake. To test this, he gets 2 groups of 30 volunteers

who have provided signed consent forms and their current weight. Group A

is asked to drink 1 extra liter of warm water at the end of each day. Group

B is asked to drink 1 extra liter of ice water each day. After a month, Dr.

Dangane weighs each volunteer again, and calculates the weight difference.

On average, group A (warm water) weights declined by 1.24 pounds, group

B declined by an average of 3.67 pounds.

Do these data justify Dr. Dangane’s belief that the ice water diet will be the

next big health revolution? That is, how much can one legitimately conclude

given this information and no more? No calculations: just comment on the

relation between data and conclusions. [For extra credit: could this diet really

work? If not, what is wrong with it?]

Explanation / Answer

From the given data, Dr.Dangane applied sampling method for two data sets and he recorded parameters for the samplings.

We cannot give conclusion by observing only sampling results.

We have to apply testing of hypothesis methods for the sampling results.

We may apply student t test for getting better results.

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