A researcher wishes to determine if vitamin E supplements could increase cognitive ability among elderly women. In 1999 the researcher recruits a sample of elderly women age 75-80. At the time of the enrollment into the study, the women were randomized 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 81 women who took vitamin E supplements was 27 1 and 6.9 respectively. The mean and standard deviation of the test scores of the 91 women who took placebo supplements was 24 and 6.2, respectively.a. What statistical test to compare mean score?b. Are there limitations to this study for drawing conclusions about whether vitamin E can enhance cognitive ability in elderly women?c. What would you conclude from these study result? A researcher wishes to determine if vitamin E supplements could increase cognitiveability among elderly women. In 1999 the researcher recruits a sample of elderly womenage 75-80. At the time of the enrollment into the study, the women were randomized toeither 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 bettercognition. The mean and standard deviation of the test scores of 81 women who tookvitamin E supplements was 27 and 6.9 respectively. The mean and standard deviation ofthe test scores of the 90 women who took placebo supplements was 24 and 6.2,respectively.What statistical test would you perform to compare the meanscores?Are there limitations to this study for drawing conclusions aboutwhether vitamin E can enhance cognitive ability in elderlywomen?What would you conclude from these study results?

For women who took vitamin E supplements, Sample size = n1 = 81 Sample mean = X1¯ = 27 Sample…

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 1999 the researcher recruits a sample of elderly women age 75-80. At the time of the enrollment into the study, the women were randomized 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 81 women who took vitamin E supplements was 27 1 and 6.9 respectively. The mean and standard deviation of the test scores of the 91 women who took placebo supplements was 24 and 6.2, respectively.

a. What statistical test to compare mean score?

b. Are there limitations to this study for drawing conclusions about whether vitamin E can enhance cognitive ability in elderly women?

c. What would you conclude from these study result?

A researcher wishes to determine if vitamin E supplements could increase cognitive
ability among elderly women. In 1999 the researcher recruits a sample of elderly women
age 75-80. At the time of the enrollment into the study, the women were randomized 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 81 women who took
vitamin E supplements was 27 and 6.9 respectively. The mean and standard deviation of
the test scores of the 90 women who took placebo supplements was 24 and 6.2,
respectively.
What statistical test would you perform to compare the mean
scores?
Are there limitations to this study for drawing conclusions about
whether vitamin E can enhance cognitive ability in elderly
women?
What would you conclude from these study results?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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