Verbal SAT scores of incoming students at a large university were reported to have a mean...

Verbal SAT scores of incoming students at a large university were reported to have a mean of 580. At about the same time (2003), several hundred students in a variety of introductory statistics courses there were surveyed, and asked to report their Math and Verbal SAT scores.

1. 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. H_a : μ ≠ 580. **Sample Mean =11.22

2. Now carry out the same test, but assume population standard deviation to be 115, which is considerably larger than the sample standard deviation (73.24): report the P-value. (Round your answer to three decimal places.)

3. Assuming population standard deviation to be 115, set up a 95% confidence interval for population mean Verbal SAT score.

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Expert Solution

orchestra answered 1 year ago

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