Researchers are interested in evaluating the effect of a natural product on reducing blood pressure. This will be done by comparing the mean reduction in blood pressure of a treatment (natural product) group and a placebo group using a two-sample t-test. The researchers would like to be able to detect whether the natural product reduces blood pressure by at least 7 points more, on average than the placebo. If groups of size 50 are used in the experiment, a two-sample t-test using alpha=0.01 will have a power of 80 % to detect a 7 -point difference in mean blood pressure reduction. If the researchers want to be able to detect a 5 -point difference instead, then the power of test (a) would be less than 80 %. (b) would be greater than 80 %. (c) would still be 80 %. (d) could be either less than or greater than 80 %, depending on whether the natural product is effective. (e) would vary depending on the standard deviation of the data. need explanation for incorrect answer

MATLAB: An Introduction with Applications
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Researchers are interested in evaluating the effect of a natural product on reducing blood pressure. This will be done by comparing the mean reduction in blood pressure of a treatment (natural product) group and a placebo group using a two-sample t-test. The researchers would like to be able to detect whether the natural product reduces blood pressure by at least 7 points more, on average than the placebo. If groups of size 50 are used in the experiment, a two-sample t-test using alpha=0.01 will have a power of 80 % to detect a 7 -point difference in mean blood pressure reduction. If the researchers want to be able to detect a 5 -point difference instead, then the power of test
(a) would be less than 80 %.
(b) would be greater than 80 %.
(c) would still be 80 %.
(d) could be either less than or greater than 80 %, depending on whether the natural product is effective.
(e) would vary depending on the standard deviation of the data.

need explanation for incorrect answer 

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