# Statistics Central Limit Theorem

**Question description**

Consider the following: Your friend wishes to know if men at his college
are 72 inches tall, on average. He randomly sampled 10 men on his
campus, measured their height, and calculated the sample mean to be 69
inches. He concluded that men at his college do not differ in height
from Apex men, because 69 inches is only 1.5 standard deviations less
than 72 inches and this is not a statistically significant difference.
Evaluate his procedure and conclusion.

## Tutor Answer

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors