91Ó°ÊÓ

The null hypothesis is a statistical theory that states that no statistical link or significance exists between two sets of observed data and measured events in a given single observed variable.

The standard variance of a normal distribution is two years. We'd like to double-check a claim that graduate students at a university are on average$31$years old. As a result, the null hypothesis is true.

$H_0:\mathrm{μ}≤31$

as well as the alternative hypothesis is,

$H_a:\mathrm{μ}>31$

The $p$- value is $0.0264$, and the $\mathrm{Î\pm }=1\%=0.01$. Therefore,

$p$-value$=0.0264>0.01=\mathrm{Î\pm }$

As a result, we are unable to dismiss the entire theory. At the $1\%$level, there is enough evidence to establish that the average age of graduate students at a university is at most $31$years

We conclude that the findings are not significant at the $1\%$level because the sample mean is $32$years old.