: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. <p>

: <p>

(i) An approximate 95% confidence interval for the average
    enrollment of all 2.700 institutions runs from 2900 
        ( = 3700 - 800) to 4500 ( = 3700 + 800). <p>

(ii) About 95% of the institutions of higher learning in the
     United States enroll between 2900 and 4500 students.  <p>

Which of the following holds? <p>

a. both (i) and (ii) are true  <p>

b. (i) is true, but (ii) is almost certainly false  <p>

c. (ii) is true, but (i) is almost certainly false  <p>

d.  both (i) and (ii) are false