A manufacturer wants to assess if her new weight-loss cat food is effective. She

Question

A manufacturer wants to assess if her new weight-loss cat food is effective. She has two groups of 20 adult cats that are overweight. Group 1 receives two servings of her companies regular adult formula food, while Group 2 receives two servings of her new weigh-loss formula.

The table below presents the weight loss the cats experienced over the duration of the experiment. Calculate a t value based on the two treatment groups.

Report your t-value as an absolute value (ie, positive number) to 4 decimal places.

Sample ID Regular Weightloss 1 0 1 2 0 4 3 1 3 4 1 1 5 1 2 6 1 2 7 2 4 8 2 3 9 0 4 10 2 3 11 2 4 12 0 0 13 2 3 14 1 1 15 0 4 16 0 0 17 1 1 18 0 2 19 1 0 20 1 2

Explanation / Answer

t =
= (Xbar1 - Xbar2) / sqrt(s1^2/n1 + s2^2/n2)
= (0.9 - 2.2) / sqrt(0.03+0.1)
-3.6056

|t| = 3.6056

Regular Weightloss 0 1 0 4 1 3 1 1 1 2 1 2 2 4 2 3 0 4 2 3 2 4 0 0 2 3 1 1 0 4 0 0 1 1 0 2 1 0 1 2

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