Answer: 1.8446
Step-by-step explanation:
Given claim : [tex]\mu>\mu_0,\text{ where }\mu_0=135[/tex]
Sample size : [tex]n=23[/tex]
Sample mean : [tex]\overline{x}=140[/tex]
Standard deviation : [tex]\sigma = 13[/tex]
The test statistic for population mean is given by :-
[tex]z=\dfrac{x-\mu_0}{\dfrac{\sigma}{\sqrt{n}}}[/tex]
[tex]\Rightarrow\ z=\dfrac{140-135}{\dfrac{13}{\sqrt{23}}}\\\\\Rightarrow\ z=1.84455058589\approx1.8446[/tex]
Hence, the value of test statistic = 1.8446
