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Chapter 13: Q.6 (page 764)

There are five basic assumptions that must be fulfilled in order to perform a one-way ANOVA test.

State the null hypothesis for a one-way ANOVA test if there are four groups.

Short Answer

Expert verified

The null hypothesis for the four groups is given below:

H0:渭1=渭2=渭3=渭4

Where, 渭1is the mean of the first group,渭2is the mean of the second group,渭3is the mean of the third group and渭4 is the mean of the fourth.

Step by step solution

01

Step[ 1 Given Information

Five basic assumptions must be fulfilled to perform a one-way ANOVA test.

We have to state the null hypothesis for a one-way ANOVA test if there are four groups.

02

Explanation

The null hypothesis for a one-way ANOVA test is simply that, all the group population means are the same. The null hypothesis for the four groups is given below:

H0:渭1=渭2=渭3=渭4

Where,渭1is the mean of the first group, 渭2is the mean of the second group, 渭3is the mean of the third group and 渭4is the mean of the fourth.

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64. 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

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