Question

In a different shelter, a random sample of dogs’ ages was taken and the sample
mean was χ = 7.4 years. The standard deviation for the sample was 2.53 years. At
α = 0.05 , test the claim that there is a difference between the ages of dogs at the two
pet shelters.

Answer 1

ANSWER::

Using Confidence interval method .

S = standard deviation = 2.53

n =20

Confidencce interval :

Significance level = 0.05

confidence interval = 1-0.05 =0.95

tc = 2.093

This interval does not contain 0 or 2 hence we reject H0. There is significant difference between ages of dog .

or using Hypothesis method

Claim that there is a difference between the ages of dogs at the two.

test statistics ;

T= 9.55

P value = 0.0000

( to get p value using excel command =T.DIST.2T(9.55,19) )

P value < 0.05 we reject Ho.

There is significant difference between ages of dog .

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