:3. There are about 2,700 institutions of higher learning in the United States (including junior colleges and community colleges). In 1976, as part of a continuing study of higher education, the Carnegie Commission took a simple random sample of size 225 from these institutions. The average enrollment of the institutions in the sample was 3,700, with an SD of 6,000.
(i) An approximate 95% confidence interval for the average enrollment of all 2.700 institutions runs from 2900 ( = 3700 - 800) to 4500 ( = 3700 + 800).
(ii) About 95% of the institutions of higher learning in the United States enroll between 2900 and 4500 students.
Which of the following holds?
a. both (i) and (ii) are true
b. (i) is true, but (ii) is almost certainly false
c. (ii) is true, but (i) is almost certainly false
d. both (i) and (ii) are false