Suppose that the current measurements in a strip of wire are assumed to follow a normal distribution with a mean of 10 milliamperes with a variance of 4 squared-milliamperes. If many random samples of 36 strips of such wire are selected,
Suppose that the current measurements in a strip of wire are assumed to follow a
(a) what would the mean and the standard deviation of the sampling distribution of X be expected to equal?What distribution would the sample means follow? What percentage of the
sample means would be between 9 and 11 milliamperes? Since this is a CLT problem, draw the “flowchart of clouds” as demonstrated in the lectures with all the elements of the CLT and show
complete solutions.
(b) determine the 98th percentile of the sampling distribution of X and give a valid
interpretation of what the value means
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