Verbal SAT scores students at university were reported to have a mean of 580. At about the same time, several hundred students in statistics courses there were surveyed, and asked to report their Math and Verbal SAT scores.
Using the 391 students with nonmissing data for variable Verbal, test whether or not the sampled students' mean Verbal SAT score is consistent with a population mean of 580, reporting the P-value for a test of
H0 : μ = 580 vs. Ha : μ ≠ 580.
Assuming population standard deviation to be 115, set up a 95% confidence interval for population mean Verbal SAT score.
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