Answer:
The calculated value    Z = 1.183 < 1.96 at 0.05 level of significance 
Null hypothesis is accepted 
 A particular greyhound breeder claims that her dogs are faster than the average greyhound
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given the average speed of greyhound dogs is about 18.4 meters per second.
Size of the sample 'n' = 35
mean of the sample x⁻ = 18.7
Population standard deviation = 1.5m/s
level of significance (∝)  = 0.05
<u><em>Step(ii):-</em></u>
Null hypothesis : H₀ : μ = 18.4
Alternative  hypothesis H₁ :  μ ≠ 18.4
Test statistic 
               
              
             Z = 1.183
<u><em>Conclusion:</em></u>-
The calculated value    Z = 1.183 < 1.96 at 0.05 level of significance 
Null hypothesis is accepted 
 A particular greyhound breeder claims that her dogs are faster than the average greyhound