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A study on music therapy to enhance memory in alzheimers patients found that the mean memory...

  1. A study on music therapy to enhance memory in alzheimers patients found that the mean memory test score for a random sample of 41 patients increased 13 points with a standard deviation of 31 points after listening to music from the era when they were late teen to young adult. Is this evidence that memory scores for alzheimers sufferers are higher after music therapy? Perform an appropriate test. Show your work of all 4 steps.
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Answer #1

Below are the null and alternative Hypothesis,
Null Hypothesis, H0: μ = 0
Alternative Hypothesis, Ha: μ > 0

Test statistic,
t = (xbar - mu)/(s/sqrt(n))
t = (13 - 0)/(31/sqrt(41))
t = 2.685

P-value Approach
P-value = 0.0053

As P-value < 0.05, reject the null hypothesis.

there is sufficinet evidence to conclude that memory scores for alzheimers sufferers are higher after music therapy

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