13. Indicate the mean and the standard deviation of the distribution of means fo
ID: 3074719 • Letter: 1
Question
13. Indicate the mean and the standard deviation of the distribution of means for
each of the following situations.
Figure 5-13 Identification accuracy as a function of image type. Standard error bars
are shown.
Mean Variance N
(a) 100 40 10
(b) 100 30 10
15. ADVACED TOPIC: Figure the 95% confidence interval (that is, the lower
and upper confidence limits) for each part of problem 13. Assume that in each
case the researcher’s sample has a mean of 80 and the population of individuals
is known to follow a normal curve.
Explanation / Answer
13.
a) mean =100
standard deviation of means =standard deviation of population /sqrt(N)
=sqrt (40)/sqrt(10)
=2
b) mean =100
standard deviation of means =standard deviation of population /sqrt(N)
=sqrt(30)/sqrt(10)
=1.732
15. a) CI is 80+ - 1.96 ( sqrt(40/10) )
80+- 3.92
=(76.08, 83.92)
b) CI is 80+ - 1.96 ( sqrt(30/10) )
80+ - 3.394
(76.605, 83.394)
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