From the following four observations among the given hypothesis with significance level is 0.05 the null hypothesis is not true.
Null hypothesis is all means are equal and in alternative at least there is a difference in one mean.
As given in the question,
Significant level is equal to 0.05
a. Null hypothesis : Null hypothesis is the one where there is no significant difference between the means of all the treatment groups.
Where as alternative hypothesis is the one which represents that there is significant difference between the means of all the treatment groups.
Therefore, from the following four observations among the given hypothesis with significance level is 0.05 the null hypothesis is not true.
Null hypothesis is all means are equal and in alternative at least there is a difference in one mean.
The complete question is:
The following is sample information. Test the hypothesis that the treatment means are equal. Use the .05 significance level.
Treatment 1: 8, 6, 10, 9
Treatment 2: 3, 2, 4, 3
Treatment 3: 3, 4, 5, 4
a. State the null and alternative hypothesis
b. What is the decision rule?
c. Compute the SST,SSE and SS total
d. Compute an ANOVA table
e. State decision regarding null hypothesis
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