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The distribution of heights for a population of individuals between the ages of 12 and 40 who suffer from fetal alcohol syndrome is approximately normal with unknown mean μ. A random sample of 31 patients is selected from the underlying population; the mean height for these individuals is ??¯ =147.4 cm and a sample standard deviation s=6.
a. Construct a 95% confidence interval for the mean μ.
b. Construct a 99% confidence interval for the mean μ.
c. Can we omit the normal assumption?
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