Question

or 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 Important: You may not know how to do the correct analysis. If this is the case, simply write “talk to a statistician” or “I wasn't taught this” as the “Type of analysis” and do not provide an alternative hypothesis. You try to figure out if the total length of male and female coral snakes is the same. You measure the lengths of 47 males and 51 females. What should you do?

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

In given example we have to test whether the total length of male and female snakes is same or not. We had taken two different samples from male population and female population and measured the length of snakes.i.e. here we have two independent samples from two different population and we made assumption that both the population have same variance.

So here , "pooled variance two sample t test" is appropriate to test total length of male and female snakes.

Ho : mu1=mu2

i.e population mean of length of male snakes is equal to population mean of length of female snakes

V/s

H1 :mu1=! mu2

I.e. population mean of length of male snakes is not equal to population mean of length of female snakes.

Here alternative hypothesis is two sided.