Suppose that the IQ scores of a large group of children can be
considered to be normally distributed. A sample of 25 such
children yielded a sample IQ of 114.2 and a sample standard deviation of 12.1.
(a) Find 95 and 99% confidence intervals for the true average
IQ of children in this group.
(b) Is it reasonable to suppose that the true average IQ of this
group of children is 100?
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