High levels of cholesterol in the blood are not healthy in either humans or dogs

Question

High levels of cholesterol in the blood are not healthy in either humans or dogs. Because a diet rich in saturated fats raises the cholesterol level, it is plausible that dogs owned as pets have higher cholesterol levels than dogs owned by a veterinary research clinic. "Normal" levels of cholesterol based on the clinic's dogs would then be misleading. A clinic compared healthy dogs it owned with healthy pets brought to the clinic to be neutered. Here are the summary statistics for blood cholesterol levels (milligrams per deciliter of blood)

Do pets have higher cholesterol levels than clinic dogs? The test statistic using pets as group 1 is ____(±0.001).

Is the evidence significant (at the 0.1 level) that pets have a higher mean cholesterol level than clinic dogs?

Yes

No

Group n xx¯ s Pets 24 187 66 Clinic 23 165 47

Explanation / Answer

The statistical software output for this problem is:

Two sample T summary hypothesis test:
1 : Mean of Population 1
2 : Mean of Population 2
1 - 2 : Difference between two means
H0 : 1 - 2 = 0
HA : 1 - 2 > 0
(without pooled variances)

Hypothesis test results:

Since p - value is less than 0.1, we reject the null hypothesis.

Hence,

The answer is Yes.

Difference Sample Diff. Std. Err. DF T-Stat P-value 1 - 2 22 16.659636 41.602955 1.320557 0.0969

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