Whether the given statement mean that the two populations cannot have same mean

generals336

generals336

Answered question

2021-10-26

Whether the given statement mean that the two populations cannot have same mean or not.
Given: The null hypothesis is false in case of One-way ANOVA test.

Answer & Explanation

Adnaan Franks

Adnaan Franks

Skilled2021-10-27Added 92 answers

Given: The null hypothesis is false in case of One-way ANOVA test.
Calculation:
The null hypothesis is false does not mean that the two populations cannot have the same mean.
The hypothesis for one way ANOVA is given below:
Null Hypothesis:
H0:μ1=μ2=μ3=μk
Alternative hypothesis:
Ha : At least one of the mean is different.
One way ANOVA is basically used to compare more than two groups of means. The null hypothesis is false really mean that "At least one of then is different", but not any two of the populations have the same mean.

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