Question

Step 1

**One-way ANOVA F test:**

The aim is to check whether there is a difference in the population mean sepal length between three species.

The hypotheses to be tested are:

Null hypothesis:

*H*_{0}: The population mean sepal length for the three species are same.

Alternative hypothesis:

*H*_{1}: The population mean sepal length for the three species are not same.

Step 2

**Observations from the ****ANOVA table:**

The value of the test statistics is *F *= 119.265.

The p-value for the test is 1.66967×10^{-31}.

The sampling distribution is *F* distribution with degrees of freedom (2,147)

Step 3

**Decision Rule:**

Assume the level of significance is 0.05. If the p-value is less than 0.05, then reject the null hypothesis. Otherwise fail to reject the null hypothesis.

**Conclusion:**

From the output, the p-value is 1.66967×10-31. This p-value is less than the level of significance, that is, p-value (=1.66967...

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