In Table 11.1 in Chapter 11 we saw data on the state means of students who took the SAT exam. The mean Verbal SAT for North Dakota was 515. The standard deviation was not reported. Assume that 238 students took that exam.
(a) Is this result consistent with the idea that North Dakota’s students are a random sample from a population of students having a mean of 500 and a standard deviation of 100?
(b) From what we learned in Chapter 11 about SAT scores and how, and why, they vary by state, would you feel comfortable concluding that people in North Dakota are smarter than people elsewhere?