How Tall Is Your Average Statistics Classmate? to Determine This $68.2$

Multiple Choice

How tall is your average statistics classmate? To determine this, you measure the height of a simple random sample of 38 fellow students, finding a mean height of 68 inches and a standard deviation of 2.3 inches. Construct the 95% confidence interval estimate of the population mean.

A) $68.2$ in. $< \mu < 68.8$ in.
B) $67.2$ in. $< \mu < 68.8$ in.
C) $67.2$ in. $< \mu < 69.8 \mathrm { in }$ .
D) $68.2$ in. $< \mu < 69.8$ in.