Answer:
Z_{0.005}>Z H₀ is wrong and other is correct. IT means $35000 is not mean value.
Step-by-step explanation:
Two hypothesis:
H₀=$35,000
Hₐ≠$35,000
Test Formula:
[tex]Z=\frac{(X-u)}{\frac{S}{\sqrt{n} } }[/tex]
Where:
X is the mean value=$37,900
u is the value with 0.01 significance=$35000
S is the standard deviation
n is the sample size
[tex]Z=\frac{(37900-35000)}{\frac{7200}{\sqrt{14} } }[/tex]
Z=1.507
Z with 0.01 significance:
0.01/2=0.005=0.05%
Degrees of freedom=14-1=13
From t distribution table at 0.05% and 13 dof:
[tex]Z_{0.005}[/tex]=4.221
So
Z_{0.005}>Z H₀ is wrong and other is correct. IT means $35000 is not mean value.
