Answered: A researcher wishes to determine if…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A researcher wishes to determine if vitamin E supplements could increase cognitive ability among elderly women. In 2021 the researcher recruited a sample of elderly women aged 50-65. At the time of the enrolment into the study, the women were randomised to either take Vitamin E, or a placebo for six months. At the end of the six-month period, the women were given a cognition test. Higher scores on this test indicate better cognition. The mean and standard deviation of the test scores of 400 women who took vitamin E supplements was 20 and 5 respectively. The mean and standard deviation of the test scores of the 500 women who took placebo supplements was 25 and 2, respectively.

REQUIRED:

Construct a 99% confidence interval for the mean difference in cognition test scores between Vitamin E and placebo groups. Interpret your answer.
Describe the effect on the confidence interval in (a) women who took vitamin E supplements increased to 600 and those who took placebo supplements increased to 750 women assuming other measurements remained constant.
What are the limitations to this study for drawing conclusions about whether or not vitamin E can enhance cognitive ability in elderly women?

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