Z hypothesis test with critical values Online Calculator
You can see a sample solution below. Enter your data to get the solution for your question
$$ \displaylines{\\ \\
x = 22.3
\\ \\
\mu = 24.0
\\ \\
\sigma =
2
\\ \\
n = 34
\\ \\
\alpha = 0.05
\\ \\
critical\;value\;z\;=\;\;\mathbf{\color{Red}{-1.644854}}
\\ \\
H_{0}: \mu = 24.0
\\ \\
H_{a}: \mu < 24.0
\\\;\\\;Formula\;for\;test\;statistic\;z\;is
\\ \\ Z=
\frac{x - \mu }{\frac{\sigma }{\sqrt{n}}}
\\ \\ \\ So, Z = \frac{22.3-24.0}{\frac{2}{\sqrt{34}}}
\\ \\ \Rightarrow
\frac{-1.7}{0.342997}
\\ \\ \Rightarrow
-4.956312
\\ \\
test\;statistic\;= \mathbf{\color{Red}{-4.956312}}
\\ \\
p= 0.0
\\ \\
0.0 \;is\;less\;than\; 0.05 \;[p\;value\;is\;less\;than\;\alpha]
\\ \\
So,\;Result\;is\;Null\;Hypothesis\;Rejected
} $$