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How much more does a Toy Fox Terrier weigh compared to a Pomeranian? A random sample...

How much more does a Toy Fox Terrier weigh compared to a Pomeranian? A random sample of dogs were weighed and the data is below. Create and Interpret a 95% Confidence Interval using PANIC.

Toy Fox Terrier Pomeranian
5.0 4.7
5.1 3.9
4.6 4.2
3.5 4.2
6.0 3.7
Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Parameters - Given data from samples (Sample mean and sample standard deviation)

Assumptions - Independent samples and random samples

Name of interval - Use t distribution because we do not know population standard deviation

Interval -

Mean difference = 0.7

Sp^2 = ((n1-1)S1^2+(n2-1)S2^2)/(n1+n2-2) = 0.483

CI Equal variance
tc 2.306004135 T.INV.2T(alpha,df)
Upper 1.713578115 (X1 bar-X2 bar )+tc*Sp*SQRT(1/n1 + 1/n2)
Lower -0.313578115 (X1 bar-X2 bar )-tc*Sp*SQRT(1/n1 + 1/n2)

CI = (-0.3136, 1.7136)

Concluson:

We are 95% confident that population mean difference lies between the interval

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