True and false question If false explain why? A t-test is used to test the null

Question

True and false question

If false explain why?

A t-test is used to test the null hypothesis of H_0: mu_1 = mu_2 = mu_3 = mu_4 = 0 A Wilcoxon Rank Sum test is used to test a null hypothesis of H_0: mu_1 - mu_2 = 17 if the assumption of equal variances is not satisfied. Suppose we are doing regression analysis and we fit a straight line to the data. We test we are the assumption of equal variances and end up with the residual plot below. This indicates that the chosen model is not a good fit. The power of a test is the probability of making a type 2 error Person is judged not guilty when they did commit the crime (letting a guilty person go free) is an example of type 2 error Three different brands of automobile batteries, each one having 42-month warranty, were included in a study of battery lifetime. A random sample of batteries of each brand was selected and lifetime (in months) was determined, resulting in the following data. This should be tested with a 2WAY ANOVA with the factors being Brand and Lifetime. Suppose you are doing a 2-Facor ANOVA with both fixed effects. You first check the interaction and it is significant (there is a interaction). You now need to test the main effects (each factor) to see if there is a significant difference between the treatments for each factor. If you find there is a difference, you use Tukey's simultaneous intervals to determine where the significant differences are.

Explanation / Answer

1. False,

Here we are comparing total of four means. t test is used for comparison between two means. In this case, ANOVA will be used.

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