A veterinarian wants to know if there is a difference in the glucose concentrati

Question

A veterinarian wants to know if there is a difference in the glucose concentration in the anterior chamber of the left and right eyes of dogs. So he measured the concentration in both eyes in a random sample of 35 dogs and calculated a 95% confidence interval for the mean difference in glucose concentration between the two eyes: [-1.1 mg/dLi, 0.7 mg/dLi].

a. Which statistical test is appropriate for this analysis? (1pt)

b. Suppose you confirmed that the glucose measurements from the left eyes were normally distributed and the measurements from the right eye were also normally distributed. Is this sufficient to know if the assumptions of this analysis are met? Why/why not? (2pt)

c. What does the confidence interval indicate about there being a significant difference in the mean glucose concentration between the two eyes? Explain how you know. (2pt)

Explanation / Answer

a) t-test is appropriate for this test.

b) No, this not sufficient, we shold know that the variances are assume to be equal or not.

c) As the confidence interval cointains the hypothised value 0 (mu1 - mu2 = 0), so there is not a significant difference in the mean glocose concentration between the two eyes.

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