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Determine whether the results below appear to have statistical significance, and

ID: 3271501 • Letter: D

Question

Determine whether the results below appear to have statistical significance, and also determine whether the results have practical significance.

In a study of a weight loss program, 4 subjects lost an average of 48 lbs. It is found that there is about a 35% chance of getting such results with a diet that has no effect.

Does the weight loss program have statistical significance?

A.

Yes, the program is statistically significant because the results are likely to occur by chance.

B.

Yes, the program is statistically significant because the results are unlikely to occur by chance.

C.

No, the program is not statistically significant because the results are likely to occur by chance.

D.

No, the program is not statistically significant because the results are unlikely to occur by chance.

Does the weight loss program have practical significance?

A.

No, the program is not practically significant because the results are likely to occur even if the weight loss program has no effect.

B.

Yes, the program is practically significant because the amount of lost weight is large enough to be considered practically significant.

C.

No, the program is not practically significant because the amount of weight lost is trivial.

D.

Yes, the program is practically significant because the results are too unlikely to occur by chance.

Explanation / Answer

Only 4 persons lost an average of 48 lbs, that is number of persons who lost an average of 48 lbs is not large so these can be by chance only.

C.

No, the program is not statistically significant because the results are likely to occur by chance.

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B.

Yes, the program is practically significant because the amount of lost weight is large enough to be considered practically significant.

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