Researchers studying the effect of a dietary drug used a sample of 86 patients and found...

Researchers studying the effect of a dietary drug used a sample of 86 patients and found a 95% confidence interval for the mean weight loss, in pounds, to be (2.3, 5.6).

We are 95% certain that the mean weight loss among the participants in this study was between 2.3 and 5.6 pounds.
		We are confident that 95% of the participants administered the drug lost between 2.3 and 5.6 pounds.
		We are 95% sure that the true mean weight loss for participants administered the drug is in the interval from 2.3 and 5.6 pounds.
		95% of confidence intervals constructed in this way will capture the true mean weight loss for the participants who were administered the drug.

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Expert Solution

I had understood the question as:

Researchers studying the effect of a dietary drug used a sample of 86 patients and found a 95% confidence interval for the mean weight loss, in pounds, to be (2.3, 5.6).

a). We are 95% certain that the mean weight loss among the participants in this study was between 2.3 and 5.6 pounds.

b). We are confident that 95% of the participants administered the drug lost between 2.3 and 5.6 pounds.

c). We are 95% sure that the true mean weight loss for participants administered the drug is in the interval from 2.3 and 5.6 pounds.

d). 95% of confidence intervals constructed in this way will capture the true mean weight loss for the participants who were administered the drug.

And we to give the correct option.

The correct answer for this question is option d). 95% of confidence intervals constructed in this way will capture the true mean weight loss for the participants who were administered the drug. since the correct interpreattion for a 95% confidence interval is

"If we continue to draw many samples of size 86(in the question), and to calculate a 95% confidence interval from each, in the long run, 95% of such intervals would cover the would cover the population mean weight loss(2.3,5.6).

orchestra answered 1 year ago

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