4. Imagine that 41 randomly selected Miramar students are asked to measure the length of one
of their feet. Suppose that the sample mean foot length (x) turns out to be 23.4 centimeters and
that the sample standard deviation of the foot lengths turns out to be 5.1 centimeters.
a) Find a 95% confidence interval for ul, the mean foot length among all Miramar students.
(4 pts)
(2 pts each)
b) Would you expect about 95% of all Miramar students to have foot lengths within this
interval? Explain.
€