A graphing calculator is recommended. 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. (Let 1 = Linda's rats, 2 = Tuan's rats and 3 = Javier's rats.) Weights of Student Lab Rats Linda's rats Tuan's rats Javier's rats 44.8 48.9 53.0 41.0 42.3 42.4 42.9 40.1 39.0 47.8 47.7 46.3 40.1 45.9 50.4 O Part (a) O Part (b) O Part (c) O Part (d) O Part (e) O Part (f) O Part (g) O Part (h) O Part (1) Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write appropriate conclusions. () Alpha (Enter an exact number as an integer, fraction, or decimal.) a=0.10 (ii) Decision: O reject the null hypothesis do not reject the null hypothesis (i) Reason for decision: S O Since a> p-value, we do not reject the null hypothesis. Since a < p-value, we do not reject the null hypothesis. O Since a> p-value, we reject the null hypothesis. O Since a < p-value, we reject the null hypothesis. ? (iv) Conclusion: O There is sufficient evidence to conclude that there is a difference among the different nutritional formulas for rats with respect to weight gain. O There is not sufficient evidence to conclude that there is a difference among the different nutritional formulas for rats with respect to weight gain.

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.