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docker41 [41]
2 years ago
13

The average speed of greyhound dogs is about 18.4 meters per second. A particular greyhound breeder claims that her dogs are fas

ter than the average greyhound. In a sample of 35 of her dogs, they ran, on the average, 18.7 m/s. Assuming a population standard deviation of 1.5 m/s and a .05 significance level.
Required:
Does this sample data provide evidence that the breeder's claim is correct?
Mathematics
1 answer:
irinina [24]2 years ago
8 0

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} } }

             Z  = \frac{18.7-18.4}{\frac{1.5}{\sqrt{35} } }

            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

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