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 20 adult cats that are overweight Group 1 recent two servings of her companies regular adult formula food, while Group 2 receives two servings of her new weight-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 (i.e. positive number) to 4 decimal places.

Explanation / Answer

H0:u1=u2

H1:u1#u2

S^2p=(nx-1)*s^2x+(ny-1)*s^2y/(nx-1)(ny-1)

=(19)(0.745)^2+(19)(1.89)^2/19+19=10.55+67.87=2.06

tSTAT=(x1-x2)-(u1-u2)/s*sqrt(1/nx+1/ny)

=(1.35-2.3)-0/2.06*sqrt(1/20+1/20)

=-0.68/0.65=-1.04615

tCRIT with 38 degrees of freedom is +-2.02. Hence, it does not fall in rejection region. Hence, cannot reject the null hypothesis

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