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One way Anova Test Question. If I am trying to make an apple pie and I...

One way Anova Test Question. If I am trying to make an apple pie and I want to use an ANOVA test, could I compare different types of apples (such as Gala vs. Fuji) as a factor?

And if so what would the null and alternative hypothesis be? And which test would I use for the test of significance and hypothesis test?

Homework Answers

Answer #1

One way ANOVA(analysis of variance) is a one factor experiment and use want to apply it to Apple which means you must have different types of apples. And your hypothesis will be:
Null hypothesis: there is no significant difference between means of apples

Alternative hypothesis: there is a significant difference between means of apples

And the test to use is one way analysis of variance because we have different apples which are independent of one another and this is one of the assumption of one way ANOVA and assuming equal variance(Homogeinity) which means we will also test for equal variance which is another assumption of to be considered when using one way ANOVA and the hypothesis for test of equal variance is:

Null hypothesis: variances are eual
Alternative hypothesis: Variances are not equal

The test used for ANOVA is F-test

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