Question

For the following, indicate what type of analysis (test) you would perform and what alternative hypothesis you are testing. If you think a directional test is appropriate, make sure you incorporate this in the alternative hypothesis. In your answer, please indicate 2 things: the type of analysis AND the alternative hypothesis

You measure both length and width of three species of barnacle. You are trying to figure out if there is a difference between these three species. You measure 22 barnacles of type “A”, 17 of type “B”, and 13 of type “C”. Using only a single analysis, how would you proceed?

HERE ARE YOUR OPTIONS. For each test, decide whether it is one sided or two sided

• One sample t-test
• Unpooled variance t-test
• Pooled variance t-test
• Paired t-test
• Mann Whitney U test
• Chi square goodness of fit test
• Chi square contingency table test
• Correlation
• Regression

Answer 1

Solution :

Type of analysis :
We would be conducting a one-way ANOVA F test to check whether the mean length and width of the three species are significantly different or not.
Alternative hypothesis :
Our alternative hypothesis would be that the mean length and width of the three species are indeed significantly different from one another.

WHAT IS ANNOVA TEST -

An ANOVA test is a way to find out if survey or experiment results are significant. In other words, they help you to figure out if you need to reject the null hypothesis or accept the alternate hypothesis.

Let me know in the comment section if anything is not clear. I will reply ASAP!
If you liked the answer, please give a thumbs-up. This will be quite encouraging for me.Thank-you!