A researcher was interested in whether men tend to show signs of Alzheimer’s dis
ID: 3020131 • Letter: A
Question
A researcher was interested in whether men tend to show signs of Alzheimer’s disease at an earlier age than women. She randomly selected two samples of 65 men (N1) and 70 women (N2) to test the hypothesis. The mean age of onset of Alzheimer’s symptoms for men is 68.6 with a standard deviation of S1=6.1, and for the mean age women is 66.5 with a standard deviation of S2=5.2. At 95% level, test the null hypothesis that there is no difference between the age of onset of Alzheimer’s symptoms for men and women.
Explanation / Answer
H0: Two means are equal
Ha: Two means are not equal
Two tailed test
As only std dev of sample is known use t test
SEM 0.757 0.622
Std error of difference = 0.973
mu1- mu2 = 2.100
df = 133
t statistic = 2.1574
p value = 0.0328
As p < alpha= 0.05 we reject null hypothesis
The two two means have significant differences.
Subject: Alzheimer disease Men Women Samplle size N 65 70 x bar 68.6 66.5 Std dev 6.1 5.2 Alpha 0.05Related Questions
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