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 = \frac{x^{-} - mean}{\frac{S.D}{\sqrt{n} } }](https://tex.z-dn.net/?f=Z%20%20%3D%20%5Cfrac%7Bx%5E%7B-%7D%20-%20mean%7D%7B%5Cfrac%7BS.D%7D%7B%5Csqrt%7Bn%7D%20%7D%20%7D)
![Z = \frac{18.7-18.4}{\frac{1.5}{\sqrt{35} } }](https://tex.z-dn.net/?f=Z%20%20%3D%20%5Cfrac%7B18.7-18.4%7D%7B%5Cfrac%7B1.5%7D%7B%5Csqrt%7B35%7D%20%7D%20%7D)
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