True and false question If false explain why? 1. A t-test is used to test the nu

Question

True and false question If false explain why? 1. A t-test is used to test the null hypothesis of Ho:Hi H2 H3 H4 0 2. A Wilcoxon Rank Sum test is used to test a null hypothesis of Ho pu H2 17 if the assumption of equal variances is not satisfied. 3. Suppose we are doing regression analysis and we fit a straight line to the data. We test the assumption of equal variances and end up with the residual plot below. This indicates that the chosen model is not a good fit. 4. The power of a test is the probability of making a type 2 error 5. Person is judged not guilty when they did commit the crime (letting a guilty person go free) is an example of type 2 error 6. 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. Brand 1:45 38 52 47 45 42 43 Brand 2: 39 44 50 54 48 46 40 Brand 3: 50 46 43 48 57 44 48 This should be tested with a 2WAY ANOVA with the factors being Brand and Lifetime. 7. Suppose you are doing a 2-Facor ANOVA with both fixed effects. You first check the interaction and it is significant (there is an 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 because t test is used to compare one or two population means only. For three or more population mwans, use ANOVA.

2. False because the Wilcoxon signed-rank test is a non-parametric statistical hypothesis test used when comparing two related samples, matched samples, or repeated measurements on a single sample to assess whether their population mean ranks differ.

3. True because scatterplot shows curved relationship not linear.

4. False, Power of the test is complement of making type II error. Power=1-P(type II error).

5. True because here person is not guilty is a null hypothesis and we accept this null hypothesis when null hypothesis is false. Type II error is committed when we accept null hypothesis when null hypothesis is false.

6. False, there are three samples and only one categorical variable. One way ANOVA should be used.

7. False, we first check main effect and then interaction.

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