An investigator in a university wants to know the mean math SAT score among all the...
An investigator in a university wants to know the mean math SAT score among all the applications to the university this year (denoted by μ). A random sample of n = 50 applications are selected. The sample mean is X(x bar) = 530 and the sample variance is s2 = 8100.
a. Obtain a point estimate for μ. Compute its standard error.
b.Construct a 95% (two-sided) confidence interval for μ.
c. Construct a 99% (two-sided) confidence interval for μ.
d. Construct a 95% lower one-sided confidence interval for μ.
e. Construct a 95% upper one-sided confidence interval for μ.
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