The area under the graph of every Studentʹs t-distribution is
A) 1
B) Less than the standard normal distribution
C) Greater than the standard normal distribution
D) $\frac { \text { Area of the standard normal distribution } } { \mathrm { s } / \sqrt { \mathrm { n } } }$ 3 Construct and interpret a confidence interval for a population mean.

Question

The area under the graph of every Studentʹs t-distribution is 
A) 1
B) Less than the standard normal distribution
C) Greater than the standard normal distribution
D) $\frac { \text { Area of the standard normal distribution } } { \mathrm { s } / \sqrt { \mathrm { n } } }$ 3 Construct and interpret a confidence interval for a population mean.

Quizplus · Accepted Answer

The area under the graph of every Student's t-distribution, like the standard normal distribution, is 1. This is because it represents a probability distribution, and the total probability must sum to 1.

The Area Under the Graph of Every Studentʹs T-Distribution Is Area of the standard normal distribution s/n\frac { \text { Area of the standard normal distribution } } { \mathrm { s } / \sqrt { \mathrm { n } } }s/n​ Area of the standard normal distribution ​

The Area Under the Graph of Every Studentʹs T-Distribution Is $\frac { \text { Area of the standard normal distribution } } { \mathrm { s } / \sqrt { \mathrm { n } } }$