three students, linda, tuan, and javier, are given five laboratory rats each for a nutritional experiment. each rat's weight is recorded in grams. linda feeds her rats formula a, tuan feeds his rats formula b, and javier feeds his rats formula c. at the end of a specified time period, each rat is weighed again, and the net gain in grams is recorded. using a significance level of 10%, test the hypothesis that the three formulas produce the same mean weight gain. what is the null hypothesis?

Question

Mathematics

Kadin Wiggins

3 February, 18:48

three students, linda, tuan, and javier, are given five laboratory rats each for a nutritional experiment. each rat's weight is recorded in grams. linda feeds her rats formula a, tuan feeds his rats formula b, and javier feeds his rats formula c. at the end of a specified time period, each rat is weighed again, and the net gain in grams is recorded. using a significance level of 10%, test the hypothesis that the three formulas produce the same mean weight gain. what is the null hypothesis?

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Peyton Sloan · Answer 1

F test statistic will be used as per explained procedure.

Step-by-step explanation:

Let XL, XT, XJ be mean averages of rats with Linda, Tuan, Javier respectively.

Null Hypothesis [H0] : XL = XT = XJ

Alternate Hypothesis [H1] : Either of XL, XT or XJ are unequal

F test will be used to test the significance of difference between three groups.

If critical p value corresponding to significance level (10%) < calculated p value : Null Hypothesis is rejected. This means that means are unequal

If critical p value corresponding to significance level (10%) > calculated p value : Null Hypothesis is not rejected. This means that means are equal